CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Solve the equation for x:
sin1x+sin1(1x)=cos1x.

Open in App
Solution

Let,
sin1x=A, sin1(1x)=B, cos1x=C
sinA=x, sinB=(1x), cosC=x
cosA=1x2, cosB=1(1x)2=2xx2, sinC=1x2

Given, A+B=C
sin(A+B)=sinC
sinAcosB+cosAsinB=sinC

x(2xx2)+(1x2)(1x)=1x2
x(2xx2)=x(1x2)

This has two solutions,

(i) x=0

(ii) 2xx2=1x2
2xx2=1x2

x=12

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Compound Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon