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Maharashtra State BoardSSC (English Medium) 10th Standard

Sin^2θ + sin^2(90 – θ) = ?

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Question

sin2θ + sin2(90 – θ) = ?

Options

  • 0

  • 1

  • 2

  • `sqrt(2)`

MCQ
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Solution

1

Explanation:

(sin(90 – θ))2 = (cosθ)2 

sin2(90 – θ) = cos2θ   ...(1)

sin2θ + cos2θ = 1      

∴ sin2θ + sin2(90 – θ) = 1   ...From (1) 

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Chapter 6: Trigonometry - Q.1 (A)

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