Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi bobbym,

The solutions T#69 and T#70 are correct. Good work!

T#71. Evaluate:

T#72. Evaluate:

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi bobbym,

The solutions T#71 and T#72 are correct. Neat work!

#T#73. Find the acute angle

when

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi bobbym,

The solution T#73 is perfect! Fantastic!

T#74. Find the value of

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi bobbym,

The solution T#74 is correct. Good work!

T#75. If

is an acute angle and

, find the value of

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

hi bobbym,

The solution T#75 is correct. Good work!

T#76. Simplify:

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Trigonometry

Hi bobbym; I realize from experimentation that your answer T#76 is absolutely right. But I'm not able to simplify and get your answer. May I know the approach you used to arrive at your response? Or anyone else can help? Many thanks.
m9m

---

Only a friend tells you your face is dirty.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Trigonometry

Dear ganesh, there is an error in the numbering of questions here, from page 6 to this 7. It begins from T#54 to 55 to 56 which you mistook for 65 and 66. Could you please check that? Thank you.

---

Only a friend tells you your face is dirty.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Trigonometry

Hi bobbym; I realize from experimentation that your answer T#76 is absolutely right. But I'm not able to simplify and get your answer. May I know the approach you used to arrive at your response? Or anyone else can help? Many thanks.
m9m

Last edited by zetafunc (2015-05-25 09:43:38)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trigonometry

Hi;

I realize from experimentation that your answer is absolutely right.

I suggest you look at zetafunc's approach. Mine, if I can remember that far back was done using series methods. This might be confusing to you now, so just know that the way you can test an answer with experimentation, you can also get one in that way.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi,

Dear ganesh, there is an error in the numbering of questions here, from page 6 to this 7. It begins from T#54 to 55 to 56 which you mistook for 65 and 66. Could you please check that? Thank you.

You are right! Thanks!

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Trigonometry

Hi;
Thanks bobbym and zetafunc although I do not entirely understand that.

You're welcome ganesh. Now, will we leave them as they are or a little editing will do?

---

Only a friend tells you your face is dirty.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Trigonometry

Hi;
Thanks bobbym and zetafunc although I do not entirely understand that.

You're welcome ganesh. Now, will we leave them as they are or a little editing will do?

You are welcome to create a thread in Help Me if you need any more help -- we'll do our best to respond to any troubles you might have.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi,

T#77. If

, find the value of cot A.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi,

.

T#78. If

then find the value of

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Trigonometry

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi,

.

The solution T#78 is correct. Excellent, Monox D. I-Fly!

T#79. Find the value of

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Trigonometry

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Trigonometry

Hi,

.

The solution T#79 is correct. Neat work, Monox D. I-Fly!

T#80. If a pole 6 meter high casts a shadow

meter long on the ground, then find the Sun's elevation.
(a) 60 degrees.
(b) 45 degrees.
(c) 30 degrees.
(d) 90 degrees.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Trigonometry

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.