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

Prove that cosθcosecθ+1+cosθcosecθ1=2tanθ

Open in App
Solution

LHS=cosθcosecθ+1+cosθcosecθ1
=cosθ(2cosecθcosec2θ1)

=cosθ⎜ ⎜ ⎜ ⎜2sinθcos2θsin2θ⎟ ⎟ ⎟ ⎟

=2×sinθcosθ

=2tanθ

=RHS

Hence proved

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