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If `Cos Theta = 5/13` Where `Theta` Is an Acute Angle. Find the Value of `Sin Theta` - SSC (Marathi Semi-English) 10th - Geometry

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Question

if `cos theta = 5/13` where `theta` is an acute angle. Find the value of `sin theta`

Solution

`cos theta = 5/13`

`sin^2 theta = 1 - cos^2 theta = 1 - 25/169 = 144/169`

`sin theta = +- 12/13` as `theta` is acute, therefore `sintheta` must be positive

`:. sin theta  = 12/13`

 

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Solution If `Cos Theta = 5/13` Where `Theta` Is an Acute Angle. Find the Value of `Sin Theta` Concept: Trigonometric Identities.
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