Question

Solve the trigonometric equation for x:

a) x = 0
b) x = π/2
c) x = -π/2
d) x = π/4

Answer 1

Without an explicit trigonometric equation, one cannot solve for x. However, at x = 0, π/2, -π/2, and π/4, we know the standard trigonometric function values for sine and cosine, which help in solving various trigonometric equations.

Step-by-step explanation:

The trigonometric equation under consideration does not have its actual form given, hence it is not possible to provide a specific solution to it. However, understanding the contextual clues, if we are looking to evaluate the trigonometric functions at the angles provided (0, π/2, -π/2, π/4), we can recall that:

• At x = 0, sine functions are 0 and cosine functions are 1.
• At x = π/2 (90 degrees), sine functions are 1 and cosine functions are 0.
• At x = -π/2 (-90 degrees), sine functions are -1 and cosine functions are 0.
• At x = π/4 (45 degrees), both sine and cosine functions are √2/2 .

For more advanced equations such as double angle formulas, sum-to-product formulas, and laws of sines and cosines, you can apply these values to these formulas to find specific solutions.