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

Prove each of the following identities:

i cot2θ-1sin2θ=-1ii tan2θ-1cos2θ=-1iii cos2θ+11+cot2θ=1

Open in App
Solution

iLHS=cot2θ-1sin2θ=cos2θsin2θ-1sin2θ=cos2θ-1sin2θ=-sin2θsin2θ=-1=RHS

iiLHS=tan2θ-1cos2θ=sin2θcos2θ-1cos2θ=sin2θ-1cos2θ=-cos2θcos2θ=-1=RHS

iiiLHS=cos2θ+11+cot2θ=cos2θ+1cosec2θ=cos2θ+sin2θ=1=RHS

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