Please find tan(B+C) given that sin C= , with C in quadrant 2, and sin B= , with B in quadrant 4.

The correct answer is

I have fount that tan C= and tan B=

+ over 1-

Is this correct? What do I do next to get the correct answer?

Thank you

Printable View

- Jan 5th 2008, 08:56 PMoceanmdPlease find exact value
Please find tan(B+C) given that sin C= , with C in quadrant 2, and sin B= , with B in quadrant 4.

The correct answer is

I have fount that tan C= and tan B=

+ over 1-

Is this correct? What do I do next to get the correct answer?

Thank you - Jan 5th 2008, 09:12 PMJhevon
umm...you don't have a lot of options here. combine the fractions in the numerator and denominator and simplify (note: you may need to conjugate). for the record, i used a different formula and got the answer, it's still a pain to simplify though. i always have trouble remembering the addition formula for tangent, so i used . but i'm sure you'll get the answer doing it your way. your values for tanB and tanC are correct

- Jan 6th 2008, 08:34 AMSoroban
Hello, oceanmd!

You're doing great !!

Quote:

Find , given that:

and

The correct answer is: .

*UGH!*. . .__Who__writes fractions that way? .

I have found that: .

Then: .

Is this correct? . . . . Yes!

What do I do next to get the correct answer? . . . . Simplify!

We have: .

Multiply top and bottom by

. .

Rationalize: .multiply top and botttom by

. .

. .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

******.

- Jan 6th 2008, 11:11 AMoceanmd
Thank you very much.