Problems
Problem 5.1:
Solve the following equation:
cos(x) - tan2(x) = 1.
[Solution]
Problem 5.2:
Solve the following equation:
2 sec(x)sin3(x) = cos(x)tan2(x).
[Solution]
Problem 5.3:
Calculate
cos(15) using the fact that
cos(30) = .
[Solution]
Problem 5.4:
θ is in the first quadrant, and
tan(θ) = . Find
the sine, cosine, and tangent of
2θ.
[Solution]
Problem 5.5:
Express the following as a function of a single angle:
.
[Solution]
Problem 5.6:
Express the following as a sum or difference:
cos(100)cos(50).
[Solution]
Problem 5.7:
Simplify:
sin2(x) + cos2(x) - sec2(x) + tan2(x).
[Solution]
Problem 5.8:
Solve:
cos(x)tan(x) = csc2(x) - cot2(x) - 1.
[Solution]
. Find
the sine, cosine, and tangent of 2θ.
[Solution]
.
[Solution]
