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Cosec theta + cot theta =5/3Find sin theta |
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Answer» Step-by-step explanation: 1/sin THETA + COS theta/sin theta=5/3 1+cos theta/sin theta=5/3 2cos^2 (theta/2)/2sin theta/2.cos theta/2=5/3 cos theta/2 / sin theta/2=5/3 cot theta/2=5/3 let theta/2 be x cot x=5/3 means we GOT opposite and adjacent side LENGTH....so lets calculate the value of hypotenuse. hyp=(5^2-3^2)^1/2 =4 therefore sin x =3/4....x=48.59 ie, sin theta/2 is 3/4....theta=97.18 therefore sin theta is approximately EQUAL to one sin 97.18 approximately equal to one. |
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