MHT CET · Maths · Inverse Trigonometric Functions
The value of \(\sin ^{-1}\left(\frac{-1}{2}\right)+\sin ^{-1}\left(\frac{-\sqrt{3}}{2}\right)\) is
- A \(\frac{\pi}{3}\)
- B \(\frac{-\pi}{6}\)
- C \(\frac{-\pi}{3}\)
- D \(\frac{-\pi}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{-\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(\sin ^{-1}\left(\frac{-1}{2}\right)+\sin ^{-1}\left(\frac{-\sqrt{3}}{2}\right)=\frac{-\pi}{3}-\frac{\pi}{6}=\frac{-\pi}{2}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- A ladder 5 meters long rests against a vertical wall. If its top slides downwards at the rate of \(10 \mathrm{~cm} / \mathrm{s}\), then the angle between the ladder and the floor is decreasing at the rate of rad./s when it's lower end is \(4 \mathrm{~m}\) away from the wall.MHT CET 2023 Easy
- If \(\tan ^{-1}\left(\frac{1-x}{1+x}\right)-\frac{1}{2} \tan ^{-1} x=0\), for \(x>0\), then \(x=\)MHT CET 2020 Medium
- \(\int_0^\pi \frac{x \tan x}{\sec x+\cos x} \mathrm{~d} x=\)MHT CET 2023 Medium
- The coordinates of the foot of perpendicular drawn from origin to the plane
are ________MHT CET 2019 Medium - The function \(f(x)=\frac{\lambda \sin x+6 \cos x}{2 \sin x+3 \cos x}\) is increasing, ifMHT CET 2021 Medium
- If \(y=\mathrm{a} \log x+\mathrm{b} x^2+x\) has its extremum values at \(x=-1\) and \(x=2\), thenMHT CET 2024 Easy
More PYQs from MHT CET
- \( \int \frac{x^2+1}{x\left(x^2-1\right)} \mathrm{d} x= \)MHT CET 2023 Medium
- A gas has a volume of \(3 \cdot 4 \mathrm{~L}\) at \(25^{\circ} \mathrm{C}\). What is the final temperature if the volume increases to \(10 \cdot 2 \mathrm{~L}\) at constant pressure.MHT CET 2020 Medium
- A charged particle is moving in a uniform magnetic field in a circular path with radius ' \(R\) '. When the energy of the particle is doubled, then the new radius will beMHT CET 2024 Medium
- If \(2 \mathrm{f}(x)+3 \mathrm{f}\left(\frac{1}{x}\right)=x^2+1, x \neq 0\) and \(\mathrm{y}=5 x^2 \mathrm{f}(x)\), then y is strictly increasing inMHT CET 2025 Hard
- Resistance of a potentiometer wire is \(2 \Omega / \mathrm{m}\). A cell of e.m.f. \(1.5 \mathrm{~V}\) balances at \(300 \mathrm{~cm}\). The current through the wire isMHT CET 2023 Medium
- What percentage of photosynthetically active radiation (PAR) can be captured by plants?MHT CET 2023 Easy