Question

Prove: sin 2 θ+cos 2θ=1
Solve this ​

Answer 1

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Let a, b, c be lengths of right angled triangle

By definition

sinθ=b/c( hypotenuseopposite side )

cosθ=a/c( hypotenuse adjacent side )

sin 2 θ+cos 2 θ= c 2

b

2

+

c

2

a

2

=

c

2

a

2

+b

2

From Pythagoras theorem

c

2

=a

2

+b

2

∴

c

2

a

2

+b

2

=1

sin

2

θ+cos

2

θ=1

Hence, proved.

Answer 2

Answer:

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