CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If cot x 1+sin x=4 m and cot x 1-sin x=4 n, prove that m2+n22=mn.

Open in App
Solution

Given:4m=cotx1+sinx and 4n=cotx1-sinxMultiplying both the equations:16mn=cot2x1-sin2x16mn=cot2x.cos2xmn=cos4x16 sin2x 1Squaring the given equation:16m2=cot2x1+sinx2 and 16n2=cot2x1-sinx216m2-16n2=cot2x4sinxm2-n2=cot2x.sinx4Squaring both sides,m2-n22=cot4x.sin2x16m2-n22=cos4x16sin2x (2)From (1) and (2):m2-n22= mnHence proved.

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon