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Find the value of cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)
Question

Find the value of cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)

A.

cos² ∅

B.

sin² (π/2)

C.

sin² (∅)-1

D.

sin² ∅

Correct option is A

Given:

cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)

Formula Used:

cos² (270 - ∅) =sin² ( ∅)

sin² (180 - ∅)=sin² ( ∅)

sin² (π/2) =1

sin² (270 - ∅) =cos² ( ∅)

Solution:

cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)

= sin² ( ∅) -sin² ( ∅) +1.cos² ( ∅)

=cos² ( ∅)

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