Write the trigonometric Ratio of complementary Angles
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If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other. →OX traces out angle ∠XOY = θ, where θ is acute. or, α = 90° - θ.
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The trigonometric ratios of complementary angles θ and (90∘- θ) are:
Sin (90∘- θ) = Cos θ
Cos (90∘- θ) = Sin θ
Tan (90∘- θ) = Cot θ
Cosec (90∘- θ) = Sec θ
Sec (90∘- θ) = Cosec θ
Cot (90∘- θ) = Tan θ
cos 30∘ = √32 ; sin 30∘ = 12.
tan 30∘ = 1√3 ; cosec 30∘ = 21
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