A point P moves such that it is equidistance from Q and R. Find QR when PR =8cm and $\angle PRQ={{30}^{o}}$

The bearing of P and Q from a common point N are 020^o and 300^o respectively. If P and Q are also equidistance from N, find the bearing of P from Q

If $\tan \theta =\tfrac{4}{3}$, calculate ${{\sin }^{2}}\theta -{{\cos }^{2}}\theta $

Which of the following is the graph of $\sin \theta $for $-\frac{\pi }{2}\le \theta \le \frac{3\pi }{2}$

The shadow of a pole $5\sqrt{3}m$high is 5m. Find the angle of elevation of the sun

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

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

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

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?

Find the value of sin45^o – cos 30^o

If $\cot \theta =\tfrac{8}{15},\text{ where }\theta \text{ is acute, find }\sin \theta $

In a right angle triangle, if tan θ = ¾ what is cos θ – sin θ

If angle θ is 135^o, evaluate cos θ

In a triangle PQR, q =8cm,r = 6cm and$\cos P=\tfrac{1}{12}$. Calculate the value of p

If $\sin \theta =\tfrac{12}{13}$ find the value of $1+\cos \theta $

From the diagram above, find the value of x correct to one decimal place

Given that θ is an acute and $\tan =\tfrac{12}{5}$ find sin θ

A boy moves from a point P to another Q due north. He then moves same distance to another point R due east. What is the bearing of R from P

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.