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Trigonometric Functions
 
 
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]
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