Trigonometry

In a right-angled triangle, if the angle is 30°, what is the value of \(\sin 30^\circ\)?

If \(\tan \theta = 1\), what is the value of \(\theta\) in degrees (0° < \(\theta\) < 90°)?

In a right triangle, the lengths of the opposite side and adjacent side to angle \(\theta\) are 3 cm and 4 cm respectively. Find \(\sin \theta\).

If \(\sin \theta = \frac{12}{13}\) and \(\theta\) is acute, find \(\cos \theta\).

Evaluate \(\tan 60^\circ\).

In a right triangle, if \(\cos \theta = 0.6\), find \(\tan \theta\).

A ladder leans against a wall making an angle of 60° with the ground. If the ladder is 10 m long, how high up the wall does it reach?

If \(\sin \theta = \frac{5}{13}\) and \(\theta\) is acute, find \(\tan \theta\).

In a right triangle, the hypotenuse is 25 cm and one leg is 7 cm. Find \(\sin \theta\) where \(\theta\) is the angle opposite the 7 cm side.

If \(\tan \theta = \frac{3}{4}\), find \(\sin \theta\).