TS EAMCET · Maths · Inverse Trigonometric Functions
\(\sin ^{-1} \frac{4}{5}+2 \tan ^{-1} \frac{1}{3}\) is equal to
- A \(\frac{\pi}{3}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{2}\)
- D 0
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \sin ^{-1} \frac{4}{5}+2 \tan ^{-1} \frac{1}{3} \\ & =\sin ^{-1} \frac{4}{5}+\tan ^{-1} \frac{2\left(\frac{1}{3}\right)}{1-\left(\frac{1}{3}\right)^2} \\ & =\sin ^{-1} \frac{4}{5}+\tan ^{-1} \frac{\frac{2}{3}}{\frac{8}{9}} \\ & =\sin ^{-1} \frac{4}{5}+\tan…
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
- Let \(P\left(\frac{\pi}{4}\right), Q\left(\frac{5 \pi}{4}\right), R\left(\frac{3 \pi}{4}\right), T\left(\frac{7 \pi}{4}\right)\) be the points on the hyperbola \(x^2-4 y^2-4=0\) in the parametric form. Then the area of the quadrilateral \(P Q R T\) is (in square units)TS EAMCET 2022 Medium
- If \(\mathbf{a}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}}\), then \((\mathbf{a} \times \hat{\mathbf{i}}) \cdot(\hat{\mathbf{i}}+\hat{\mathbf{j}})+(\mathbf{a} \times \hat{\mathbf{j}}) \cdot(\hat{\mathbf{j}}+\hat{\mathbf{k}})+(\mathbf{a} \times \hat{\mathbf{k}}) \cdot(\hat{\mathbf{k}}+\hat{\mathbf{i}})=\)TS EAMCET 2017 Easy
- In triangle , if is the hypotenuse, thenTS EAMCET 2022 Easy
- If thenTS EAMCET 2021 Easy
- The line \(x+y+1=0\) intersects the circle \(x^2+y^2-4 x+2 y-4=0\) at the points A and B. If \(M\) \((a, b)\) is the midpoint of AB , then \(a-b=\)TS EAMCET 2024 Medium
- If \(T_4\) represents the 4th term in the expansion of \(\left(5 x+\frac{7}{x}\right)^{-3 / 2}\) and \(x \notin\left[-\sqrt{\frac{7}{5}}, \sqrt{\frac{7}{5}}\right]\), then \(\left(x^7 \sqrt{5 x}\right) T_4=\)TS EAMCET 2024 Easy
More PYQs from TS EAMCET
- If \(\triangle A B C\), if \(\cos A \cos B+\sin A \sin B \sin C=1\) and \(C=\frac{\pi}{2}\), then \(A: B=\)TS EAMCET 2018 Easy
- Two point charges \(-q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0, a)\) respectively. The electric potential at a point \((0,0, z)\), where \(z>a\) isTS EAMCET 2009 Medium
- If thenTS EAMCET 2021 Easy
- The correct statements about the properties of colloidal solutions are
A. Tyndall effect is used to distinguish between a colloidal solution and a true solution
B. Zeta potential is related to movement of colloidal particles
C. Brownian motion in colloidal solution is faster if the viscosity of the solution is very high.
D. Brownian motion stabilises the solsTS EAMCET 2025 Medium - Assertion : Ammonia and its derivatives of the form \(\mathrm{H}_2 \mathrm{~N}-\mathrm{Z}\) undergo condensation reaction with carbonyl compounds (aldehydes and ketones). Reason : This reaction is an example of irreversible reaction. The correct option among the following isTS EAMCET 2022 Medium
- If and are the greatest divisors of and respectively for all , thenTS EAMCET 2018 Medium