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CBSE Class 11-science Answered

sin(90+θ)*.tan(270-θ)*.cot(360-θ)/cot(-θ)*.tan(90+θ)*.cos(180+θ)=
question image
Asked by nayaktapaswini2007 | 29 Feb, 2024, 09:10: AM
answered-by-expert Expert Answer

img ............................(1)

sin(90+θ) = cosθ ;

tan(270-θ) = sin(270-θ) / cos(270-θ) = -cosθ / -sinθ = cotθ

cot(360-θ) = cos(360-θ)/sin(360-θ) = cosθ /-sinθ = -cotθ

tan(90+θ) = sin(90+θ) / cos(90+θ) = cosθ / -sinθ = -cotθ

cos(180+θ) = -cos θ

Hence eqn.(1) is written as

img

Answered by Thiyagarajan K | 29 Feb, 2024, 03:49: PM
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