Download (1) If cos A = − where where π < B <

1151 EXAM 2 REVIEW
(1) If cos A = − 47 where
π
2
< A < π and sin B = − 87 where π < B <
3π
,
2
find the exact value of . . .
(a) cos(A + B).
(b) cos(A − B).
(c) tan( A2 ).
(d) sin(2B).
(e) sin( B2 ).
√
(2) Write a general formula for all the solutions of the trigonometric equation: sin θ =
(3) Find the exact value of: cos sin−1 − 25 .
(4) Find the exact value of: sin
1
2
tan−1 2 .
(5) Find the exact value of: cos cos−1 43 + sin−1 − 56 .
(6) Solve the trigonometric equation: tan2 θ =
1
3
on the interval 0 < θ < 2π.
Date: October 21, 2015.
1
2
.
2
2
1151 EXAM 2 REVIEW
√
(7) Solve the trigonometric equation: cos 2θ =
3
2
on the interval 0 < θ < 2π.
(8) Solve the trigonometric equation: 2 sin2 θ + sin θ − 1 = 0 on the interval 0 < θ < 2π.
(9) Solve the trigonometric equation: tan2 θ = 3 on the interval 0 < θ < 2π.
(10) Find the EXACT value of: tan(15◦ ) without using a calculator.
(11) If tan A = − 43 where
(a) sin(A + B).
(b) cos(2B).
(c) cos( A2 )
(d) tan(A + B)
(e) sin( B2 )
π
2
< A < π and cot B =
12
5
with π < B <
3π
,
2
find the exact values of . . .