Question

help pls:/
Sin(theta/2)=1/2 solve the following?
1. : Write an equation that expresses the value of theta/2 in terms of an appropriate inverse trigonometric expression
2. On the interval [0,2pi] what values of theta/2 satisfy your equation in number 1?
3. On the interval [0,2pi], what values of theta does the answer to number 2 produce?
4. Write an expression for all solutions to the equation

Answer 1

\[\sin^{-1} (\frac{1}{2})=\frac{\theta}{2}\]

Answer 2

\[\frac{\theta}{2}=\frac{\pi}{6}, \frac{5\pi}{6}\]

Answer 3

\[\theta=\frac{\pi}{3}, \frac{5\pi}{3}\]

Answer 4

\[\theta=\frac{\pi}{3}, \frac{5\pi}{3}+2\pi n\]

Answer 5

(cosx-sqrt2/2)(secx-1)=0
use reciprocal identity to express the equation involving secant in term of sine,cosine,or tangent.