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CBSE Class 10 Answered

Prove that:{cos(90-A)*cosA/tan A +cos^2(90-A)=1
Asked by Gounshi | 25 Nov, 2018, 17:28: PM
answered-by-expert Expert Answer
we need to prove cos(90-A)×cosA / tanA + cos2(90-A) = 1
 
we have cos(90-A) = sinA
 
hence LHS = sinA ×( cosA / tanA ) + sin2A= sinA× [ ( cosA/sinA )×cosA ] + sin2A
 
hence LHS = cos2A + sin2A = 1
Answered by Thiyagarajan K | 26 Nov, 2018, 07:57: AM

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