Prove the following trigonometric identities:
sin2 A cot2A + cos2A tan2A =1
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Prove the following trigonometric identities:
sin2 A cot2A + cos2A tan2A =1
Prove the following trigonometric identities:
sin2 A cot2A + cos2A tan2A =1
Given : sin2 A cot2A + cos2A tan2A =1
To prove : Above equality holds. Proof: Consider LHS, we know,
cot θ = \(\frac{cosθ}{sinθ}\) and tanθ = \(\frac{sinθ}{cosθ}\)
using these
sin2A cot2A + cos2A tan2A
= sin2A x \(\frac{cos^2A}{sin^2A}\) + cos2x \(\frac{sin^2A}{cos^2A}\)
= cos2A sin2A
= 1
Which is equal to RHS.
Hence Proved