JEE Main · Mathematics

Trigonometric functions and inverse trigonometric functions

15 practice questions, each with the answer and an explanation.

Practise Trigonometric functions and inverse trigonometric functions now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 15 questions

What is the exact value of $tan (2 tan^{- 1} (\frac{1}{5}) - \frac{π}{4})$ ?
How many solutions does the trigonometric equation $sin^{2} x - 3 sin x + 2 = 0$ have in the closed interval $[0, 2 π]$ ?
What is the principal value of $sin^{- 1} (sin \frac{5 π}{3})$ ?
What is the exact value of $cos (\frac{1}{2} cos^{- 1} (\frac{1}{8}))$ ?
What is the natural domain of the real-valued function $f (x) = sin^{- 1} (2 x - 1)$ ?
What is the exact product $cos 2 0^{\circ} cos 4 0^{\circ} cos 8 0^{\circ}$ ?
What is the principal value of $cos^{- 1} (cos \frac{7 π}{6})$ ?
What is the exact value of the sum $tan^{- 1} (1) + tan^{- 1} (2) + tan^{- 1} (3)$ ?
What is the maximum value of the function $f (x) = 3 sin x + 4 cos x + 5$ for all real $x$ ?
What is the range of the function $f (x) = sin^{- 1} x + cos^{- 1} x + tan^{- 1} x$ ?
What is the exact value of $sin (2 sin^{- 1} (0.6))$ ?
How many real solutions exist for the equation $cos x = ∣ x ∣$ ?
If $tan α = \frac{1}{2}$ and $tan β = \frac{1}{3}$ with acute angles $α$ and $β$ , what is the measure of $α + β$ ?
What is the general solution of the trigonometric equation $sin (2 x) + cos x = 0$ ?
What is the exact value of $tan^{- 1} (\frac{1}{2}) + tan^{- 1} (\frac{1}{3})$ ?

Keep practising

More JEE Main topics

All JEE Main practice →

Ready for the full JEE Main test?

Take a mock test JEE Main hub

Trigonometric functions and inverse trigonometric functions | GetMyMockTest