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Tue 5 Jul, 2005 04:51 pm
Given tan A = 8 and tan(A + B) = - 17/6,
a) Find the exact value of tan B
b) Find the exact value of sec^(2)A + sec^(2)B
Here's a start
Start by looking up the formula for Tan (A+B). If you still need help after that, post back and I'll drop another hint.
A hint beyond engineer's hint. Tan(A)=sin(A)/cos(A), so you could really just find the formulas for Sin(A+B) and Cos(A+B).
OKAY
I was able to find the answer after much work for part a.
However, I have no clue in terms of answering part b of this question. Any hints?
Trig Identities
Here is a trig identity that might help:
Sec^2 A = 1 + Tan^2 A
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