Math, asked by tripathi74stpckjdm, 7 months ago

3-4 sin^2theeta/cos^2theeta=3-tan^2theeta proove that​

Answers

Answered by Riteshjha07
0

Step-by-step explanation:

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Answered by thesoumyasahoo23
0

Answer:

proved

Step-by-step explanation:

3 - 4 sin^2 (A)

= 3 - 4 (1 - cos^2 (A))

= 3 - 4 + 4 cos^2 (A)

= 4 cos^2 (A) - 1

= 3 cos^2 (A) + cos^2 (A) - 1

= 3 cos^2 (A) - (1 - cos^2 (A))

= 3 cos^2 (A) - sin^2 (A)

= cos^2 (A) [3 - tan^2 (A)] [Since, sin^2 (A) / cos^2 (A) = tan^2 (A)]

Hence, 3 - 4 sin^2 (A) = cos^2 (A) [3 - tan^2 (A)]

Divide both sides by cos^2 (A).

(3 - 4 sin^2 (A)) ÷ (cos^2 (A)) = 3 - tan^2A [Proved]

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