हिंदी

If `Sqrt(3) Sin Theta = Cos Theta and Theta ` is an Acute Angle, Find the Value Of θ .

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प्रश्न

If `sqrt(3) sin theta = cos theta  and theta ` is an acute angle, find the value of θ .

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उत्तर

We have ,

 `sqrt(3) sin theta = cos theta`

⇒ `sin theta/ cos theta = 1/ sqrt(3)`

⇒ `tan theta = 1/ sqrt(3)`

⇒  `tan theta = tan 30°`

∴ `theta = 30°`

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अध्याय 13: Trigonometric identities - Exercises 3

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 13 Trigonometric identities
Exercises 3 | Q 26
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