Q10 of 113 Page 575

Prove that

cosec 2x + cot 2x = cot x


To Prove: cosec 2x + cot 2x = cot x

Taking LHS,


= cosec 2x + cot 2x …(i)


We know that,



Replacing x by 2x, we get



So, eq. (i) becomes




[∵ 1 + cos 2x = 2 cos2x]


[∵ sin 2x = 2 sinx cosx]



= cot x


= RHS


Hence Proved


More from this chapter

All 113 →
8

Prove that


 9

Prove that

sin 2x(tan x + cot x) = 2


 11

Prove that

cos 2x + 2sin2x = 1


 12

Prove that

(sin x – cos x)2 = 1 – sin 2x