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

If tanx=34,π<x<3π2, then the value of cosx2 is.

A
310
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
310
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
110
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
110
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 110
Given tanx=34 and x lies in third quadrant cosx<0
So tan2x=916sec2x1=916
sec2x=2516

cos2x=1625

cosx=45

Now using cosx=2cos2x21
cosx2=1+cosx2= 1452=110

Note: If x lies in the third quadrant, then x2 will lie in 2 nd quadrant

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