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The value of cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ is ______. -

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Question

The value of cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ is ______.

Options

  • 0

  • – 1

  • `1/2`

  • 1

MCQ
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Solution

The value of cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ is 1.

Explanation:

cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ

= sin θ . sin θ + cos θ . cos θ

= sin2 θ + cos2 θ

= 1

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