Question

what is sinsquaretheta/cossquaretheta​

Answer 1

Answer:

sin2theta/cos2theta= tan2 theta

Step-by-step explanation:

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Answer 2

Answer:

sin² theta cos²theta

Step-by-step explanation:

sinθ is defined to be the ratio of perpendicular (AB) to hypotonous (AC)⟹sinθ=ABAC Eqn(1)

cosθ is defined to be the ratio of base (BC) to hypotonous (AC)⟹cosθ=BCAC Eqn(2)

But, According to Pythagoras Theorem: (AB)2+(BC)2=(AC)2

Now, on Dividing both the sides by (AC)²:

⟹AB2AC2+BC2AC2=1

Now, on Substituting values From Eqn(1) and Eqn(2):

⟹sin2θ+cos2θ=1

Hence proved: sin2θ+cos2θ=1

sin²theta cos²theta=1