Solving Trigonometric Equations

The process of Solving Trigonometric Equations is centered around identifying every angle that makes a trigonometric function satisfy a given equation. This involves the usage of algebraic methods, trigonometric identities, and inverse trigonometric functions. Depending on the specific requirements of the problem, solutions may exist within a certain range or encompass all possible angles.

Solving Standard Angle Equations

Score: $1 / 3$ Penalty: none Question Watch Video Find all angles, $0^{\circ} \leq \theta<360^{\circ}$, that solve the following equation. \[ \sin \theta=-\frac{\sqrt{2}}{2} \] Answer Attempt 1 out of 2 Additional Solution No Solution \[ \theta= \] Submit Answer

Complex Trigonometric Equations

Score: $1 / 2$ Penalty: none Question Solve the trigonometric equation for all values $0 \leq x<2 \pi$. \[ 4 \sin ^{2} x-1=0 \] Answer Attempt 1 out of 2 Additional Solution No Solution \[ x= \]

Solving the Triangle

$\frac{\sin 30^{\circ}}{14}=\frac{\sin 50^{\circ}}{b}$