Question

find the value of (sin sq. theta

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Answer 1

Answer:

plzz write the value or paste the question

Answer 2

Step-by-step explanation:

Consider a Right Angled Triangle ΔABC , right angled at B:

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