Prove that sin square theta + …

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Prove that sin square theta + cos square theta is equal to 1..

Posted by Vandit Sharma 8 months, 2 weeks ago

CBSE > Class 10 > Mathematics

3 answers

Vandit Sharma 8 months, 1 week ago

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0Thank You

Bhargav Kulkarni 8 months, 2 weeks ago

We know that , 1+tan2Φ=sec2Φ 1+sin2Φ/cos2Φ=1/cos2Φ Multiply cos2Φ on both sides We get cos2Φ+sin2Φ=1 sin2Φ+cos2Φ=1

2Thank You

Indrajeet Bera 8 months, 2 weeks ago

Let a, b, c be lengths of right angled triangle By definition sinθ=b/c(opposite sidehypotenuse) cosθ=a/c(adjacent sidehypotenuse) sin2θ+cos2θ=b2c2+a2c2=a2+b2c2 From Pythagoras theorem c2=a2+b2 ∴a2+b2c2=1 sin2θ+cos2θ=1 Hence, proved.

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