Saturday
May 23, 2015

Homework Help: trig help much appreciated! :))

Posted by suzy on Friday, August 16, 2013 at 4:53pm.

1. Find the complete exact solution of sin x = .
2. Solve cos 2x 3sin x cos 2x = 0 for the principal value(s) to
two decimal places.
3. Solve tan2 x + tan x 1 = 0 for the principal value(s) to two
decimal places.

4. Prove that tan2  1 + cos2  = tan2  sin2 .
5. Prove that tan  sin  + cos  = sec .
6. Prove that = cos  + sin .
7. Prove that .
8. Prove that = cos  cot  cos .
9. Find a counterexample to shows that the equation sec  cos  = sin  sec  is not
an identity.
sin cos
tan sin cos tan
2 2 ω ω
ωω ω ω

+
1 + tan
1 tan
sec + 2tan
1 tan
2
2
θ
θ
θ θ
− − θ
=
tan cos + sin
sin

10. Write tan as a function of  only.
11. Write cos as a function of  only.
12. Write cos(83) as a function of a positive angle.
13. Write sin(125) in terms of its cofunction. Make sure your answer is a function
of a positive angle.
14. Find the exact value of sin(195).

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