wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

Prove the following trigonometric identities:

1cos A1+cos A=(cot Acosec A)2

Open in App
Solution

LHS=1cosA1+cosA

Rationalize the numerator and denominator with (1 – cos A)

=(1cosA)(1cosA)(1+cosA)(1cosA)

=(1cosA)21cos2A

=(1cosA)2sin2A

=(1cosAsinA)2

=(1sinAcosAsinA)2

=(cosecAcotA)2

=(cotAcosecA)2

=RHS


flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Trigonometric Ratios
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon