Math, asked by lahapartha8p85bsm, 9 months ago

PLZ HELP ME WITH QUESTION​

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Answered by 69420
0

I'll be solving it on a paper as it requires a diagram for better understanding

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Answered by renuagrawal393
1

 \huge{\bold{ \red{\underline{\mathcal{Hey!!! \:  Mate}}}}}

   \huge{\boxed{\bold{\mathbb{\blue{Answer}}}}}

 \sin \theta   =  \frac{p}{q}  =  \frac{perpendicular }{hypotenuse}  \\ it \: means \: perpendicular = p  \:  and \\  \: hypotenuse = q \\  \\ according \:to \: pythagorus \: theorem \\  {(hypotenuse)}^{2}  =  {(base)}^{2}  +   \\ {(perpendicular)}^{2}  \\  {(base)}^{2}  =  {q}^{2}  -  {p}^{2}  \\ cos \theta =  \frac{base}{hypotenuse}  =  \frac{{q}^{2}  -  {p}^{2}}{q}  \\  \\ cos \theta + sin \theta =  \frac{{q}^{2}  -  {p}^{2}}{q} + \frac{p}{q} \\ \bold{ =   \frac{ {q}^{2}  -  {p}^{2}  + p}{q} }

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