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Shubham bisht

· started a discussion

· 1 Months ago

plzz explain properly (Question: 269987.0 )

team toprankers help

Question:

If sin2  α    = cos3  α   , then the value of (cot6  α    – cot2  α   ) is –

Options:
A)

0

B)

1

C)

3

D)

4

Solution:

Ans: (b)

  

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Given expression is If sin^2 α = cos^3 α
1= {cos^2 α/ sin^2 α}* cos α
1/cos α= cot^2 α
we put this value in (cot6α – cot2α) we get sin^2α / cos^3α please see in the solution.
now according to given condition sin^2 α = cos^3 α we put this value in final expression sin^2α / cos^3α= cos^2α / cos^3α= 1.

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