what is the value of sinsquare tita +cossquare tita options a)0 b)1c)2d)3
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Answer:
b)1
Step-by-step explanation:
The given equation Sin^2 \theta + Cos^2 \thetaSin2θ+Cos2θ = 1 is proved.
Step-by-step explanation:
Given:
Prove that sin square theta + cos square theta is equal to 1
Solution:
Put sin \theta = \frac{P}{H}sinθ=HP , cos \theta = \frac{B}{H}cosθ=HB ,
Sin^2 \theta + Cos^2 \thetaSin2θ+Cos2θ = 1
(\frac{P}{H})^2 + (\frac{B}{H})^2(HP)2+(HB)2 = 1
\frac{(P^2 + B^2)}{H^2}H2(P2+B2) = 1
Ina triangle, by pythogoras,
P^2 + B^2 = H^2P2+B2=H2
Hence, \frac{H^2}{H^2}H2H2 = 1.
Hence proved
To know more:
Prove sin 8 theta minus Cos 8 theta equal to sin square theta minus cos square theta 1 - 2 sin square theta cos square theta
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Answer:
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Step-by-step explanation:
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