Tan 9° - Tan 27° - Tan63° +Tan81°
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Trigonometric Identities:
Sin (90° - θ) = cos θ
Cos (90° - θ) = sin θ
tan (90° - θ) = cot θ
sin2 θ + cos2 θ = 1
2sinθcosθ = sin2θ
CALCULATION:
Given that, tan 9° - tan 27° - tan 63° + tan 81°
As we know that,
As we know that, sin2 θ + cos2 θ = 1
As we know that, 2sinθcosθ = sin2θ
As we know that, (A + B) (A – B) = A2 – B2
= 16/4 = 4
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