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 18

Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 18

Answers (1)

Answer:

                23

Hint:

You must know the rules of inverse trigonometric function.

Given:

                \tan^{2}\left ( \sec^{-1}3 \right )+\cot^{2}\left ( cosec^{2}4 \right )

Solution:

                \tan^{2}\left ( \sec^{-1}3 \right )+\cot^{2}\left ( cosec^{2}4 \right )

         \left [ \tan^{2}x=\sec^{2}x-1 \& \cot^{2}x=cosec^{2}x-1 \right ]

                = \sec^{2}\left ( \sec^{-1} 3\right )-1+cosec^{2}\left ( cosec^{-1} 4\right )-1                              

                =\left ( 3 \right )^{2}+\left ( 4 \right )^{2}-2

                =9+16-2

                =23

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

Latest Question