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If tan θ = 1, then sin θ . cos θ = ? - Geometry Mathematics 2

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Question

If tan θ = 1, then sin θ . cos θ = ?

Sum

Solution

tan θ = 1    ......[Given]

∴ θ = 45°     ......[∵ tan45° = 1]

∴ sin θ . cos θ = sin 45° cos 45°

= `1/sqrt(2)*1/sqrt(2)`

= `1/2`

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Chapter 6: Trigonometry - Q.1 (B)
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