Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 10

Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 10

Answers (1)

Answer:

                \frac{2\pi}{3}

Hint:

You must know the rules of inverse trigonometric function.

Given:

\cos^{-1}x+\cos^{-1}y=\frac{\pi}{3}, then find \sin^{-1}x+\sin^{-1}y

Solution:

We know

                \cos^{-1}x+\sin^{-1}x=\frac{\pi}{2}  and

                \cos^{-1}y+\sin^{-1}y=\frac{\pi}{2}

Adding both

                \cos^{-1}x+\sin^{-1}x+\cos^{-1}y+\sin^{-1}y=\frac{\pi}{2}+\frac{\pi}{2}

\Rightarrow         \cos^{-1}x+\cos^{-1}y+\sin^{-1}x+\sin^{-1}y=\frac{2\pi}{2}

\Rightarrow         \frac{\pi}{3}+\sin^{-1}x+\sin^{-1}y=\pi

\Rightarrow         \sin^{-1}x+\sin^{-1}y=\pi-\frac{\pi}{3}

\Rightarrow         \sin^{-1}x+\sin^{-1}y=\frac{3\pi-\pi}{3}

\Rightarrow         \sin^{-1}x+\sin^{-1}y=\frac{2\pi}{3}

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question