Find the value of sin45^o – cos 30^o

If the hypotenuse of a right – angle isosceles triangle is 2cm. What is the area of the triangle?

A student sitting on a tower 68 metres high observes his principal car at an angle of depression of 20^o. How far is the car from the bottom of the tower to the nearest metres?

If $\sin \theta =\frac{3}{5}$, find $\tan \theta $

A man 40m from the foot of tower observes the angle of elevation of the tower to be 30^o. Determine the height of the tower

Find the value of $\frac{\tan {{60}^{o}}-\tan {{30}^{o}}}{\tan {{60}^{o}}+\tan {{30}^{o}}}$

In triangle XYZ $\angle XYZ={{15}^{o}},\angle XZY={{45}^{o}}$and $\left| XY \right|=7cm$.Find $\left| YZ \right|$

If $\tan \theta =\tfrac{5}{4}$, find ${{\sin }^{2}}\theta -{{\cos }^{2}}\theta$

If$\sin \theta =-\tfrac{1}{2}\text{ for }0<\theta <{{360}^{o}}$, the value of θ is 

From the diagram above, find the bearing of R from S