wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Number of value x satisfying the equation sin1(5x)+sin1(12x)=π2 is

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
more than 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 1
sin1(5x)+sin1(12x)=π2
sin1(5x)=π2sin1(12x)
sin1(5x)=cos1(12x)
cos1(x225x)=cos1(12x)
x225=144
x2=169
x=±13
However for -13, we wouldn't get π2 on the RHS.
Hence there is only one solution, x=13

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