wiz-icon
MyQuestionIcon
MyQuestionIcon
19
You visited us 19 times! Enjoying our articles? Unlock Full Access!
Question

Is LHS=RHS?
(1+1tan2θ)(1+1cot2θ)=1sin2θsin4θ
Say yes or no.

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

The correct option is B Yes
LHS=(1+1tan2θ)(1+1cot2θ)
=(tan2θ+1tan2θ)(cot2θ+1cot2θ)=(sec2θ)(cosec2θ)(tanθcotθ)2
=sec2θcosec2θ1=1cos2θ×1sin2θ=1(1sin2θ)sin2θ=1sin2θsin4θ=RHS

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