5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Find all solutions to the equation.

$\(\cos\) x=1$

Find all solutions to the equation.

$\(\tan\]\theta\)=1$

Find all solutions to the equation.

$\(\sin\]\theta\)=-\(\frac{\sqrt3}{2}\)$

Find all solutions to the equation.

$3\(\sin\]\theta\)-6=-9$

Find all solutions to the equation.

$\(\sqrt\)2\(\cos\]\theta\)+4=5$

Find all solutions to the equation.

$\(\sqrt\)3\(\tan\]\theta\)-7=-6$

Use substitution to determine whether the given x-value is a solution of the equation.

$\tan 2x=-\frac{\sqrt{3}}{3},x=\frac{5\pi }{12}$

Find all solutions of each equation. sin x = (√3)/2

Find all solutions of each equation. tan x = 1