If Cot (α + β) = 0, Sin (α + 2β) is Equal to - Mathematics

प्रश्न

If cot (α + β) = 0, sin (α + 2β) is equal to

पर्याय

sin α
cos 2 β
cos α
sin 2 α

MCQ

उत्तर

sin α
Given:
$\cot (α + β) = 0$
$\Rightarrow \frac{\cos (α + β)}{\sin (α + β)} = 0$
$\Rightarrow \cos (α + β) = 0$
$\Rightarrow α + β = \frac{π}{2}$

$Therefore, \sin (α + 2 β) = \sin (α + α + β)$

$= \sin α$

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Trigonometric Functions of Sum and Difference of Two Angles

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Q 10 Q 9 Q 11

पाठ 7: Values of Trigonometric function at sum or difference of angles - Exercise 7.4 [पृष्ठ २८]

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पाठ 7 Values of Trigonometric function at sum or difference of angles
Exercise 7.4 | Q 10 | पृष्ठ २८

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Trigonometric Functions of Sum and Difference of Two Angles

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If Cot (α + β) = 0, Sin (α + 2β) is Equal to - Mathematics

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If Cot (α + β) = 0, Sin (α + 2β) is Equal to - Mathematics

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