List of top Mathematics Questions on Trigonometry asked in NATA

Choose the correct option
\(\frac {2tan30°}{1+tan^230°}=?\)

Choose the correct option sin2A=2 sinA is true when A =?

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, then what is the distance between the two ships?(Answer to be provided in meters)

If \(tan ^{-1}(sinx)=\frac{\pi}{4}\),then the value of \(x\) is:

If \(cos2\theta+sin\theta= \sqrt{2}cos \theta,Then \ cos\theta-sin \theta=? \)

The sum of the values of x satisfying \(\tan(\frac{\pi}{4}+x)+\tan(\frac{\pi}{4}-x)=2\) in the interval \([0,2\pi]\) is:

The number of solutions of the pair of equations \( 2 \sin^2 \theta - \cos 2\theta = 0 \) and \( 2 \cos^2 \theta - 3 \sin \theta = 0 \) in the interval \([0, 2\pi]\) is: