List of top Mathematics Questions on Trigonometry

A tree breaks due to storm and the broken part bends so that the top of the tree first touches the ground, making an angle of 30 with the horizontal. The distance from the foot of the tree to the point where the top touches the ground is 10 m. The height of the tree is

If \(\sin \theta = \frac{3}{5}\) and $ \theta $ is in the first quadrant, what is $ \tan \theta $?

If \( \tan \theta = \frac{3}{4} \) and \( \theta \) is in the first quadrant, find the value of \( \sin \theta + \cos \theta \).
If ΔABC is right angled at C, then the value of tan A + tan B is

If \(tan(x - y) = \frac{4}{5}\), \(\tan(x + y) = \frac{6}{5}\), then \(\tan(2x) =\)

The value of \( \sin(\cot^{-1}(x)) \) is:
Let \(x+\dfrac{1}{x}=2cosα\) .For any \(n∈N\),the value of \(x^n+\dfrac{1}{x^n}​\) is .

Let \(α\) and \(β\) be such that \(α+β=π\).If \(cosα=\dfrac{1}{√2}\) ,then the value of \(cot (β-α)\) is