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If a = sin 175°+ cos 175°, then ______. -

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Question

If a = sin 175°+ cos 175°, then ______.

Options

  • a > 0

  • a < 0

  • a = 0

  • a = 1

MCQ
Fill in the Blanks

Solution

If a = sin 175°+ cos 175°, then a < 0.

Explanation:

We have,

a = sin 175°+ cos 175°

⇒ a = sin (180° - 5°) + cos (180° - 5°)

= sin 5° - cos 5°

Since, cos 5° > sin 5°

∴ a < 0

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Trigonometric Functions of Allied Angels
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