Trigonometry
JUPEB Mathematics

Solve $2\sin x - 1 = 0$ for $0^\circ \le x \le 360^\circ$.

If $\tan A = \dfrac{1}{2}$ and $\tan B = \dfrac{1}{3}$, find the value of $\tan(A + B)$.

Convert $\dfrac{5\pi}{6}$ radians to degrees.

In triangle $ABC$, $A = 30^\circ$, $B = 45^\circ$ and $a = 10$ cm. Find the length of side $b$.

Find the exact value of $\sin 150^\circ$.

Find the exact value of $\sin 15^\circ$.

Solve $\cos 2x = \dfrac{1}{2}$ for $0^\circ \le x \le 180^\circ$.

Two sides of a triangle are $5$ cm and $7$ cm and the angle between them is $60^\circ$. Find the length of the third side.

Find the maximum value of $3\sin x + 4\cos x$.

Find the area of a triangle with two sides of length $8$ cm and $6$ cm and an included angle of $30^\circ$.

Given that $\sin\theta = \dfrac{3}{5}$ and $\theta$ is obtuse, find $\tan\theta$.

Find all solutions of $\sin 2x = \sin x$ for $0^\circ \le x < 360^\circ$.