Question

Prove that (tanA x sinA) + COSA = SECA​

Answer 1

Answer:

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Answer 2

Answer:

(tan a × sin a) +cos a

= ((sin a/cos a) × sin a) +cos a

= (sin^2 a/cos a) + cos a

= (sin^2 a+ cos^2 a) /cos a

= 1/cos a [since, sin^2 a+cos^2 a = 1]

= sec a [since, 1/cos a= sec a]