Question

Cosec theta+cot theta=2 find cos theta

Answer 1

cos ¤ =3/5

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Answer 2

Answer:

cosec theta +cot theta =2

squaring on both sides

(cosec theta + cot theta) ^2 = 2^2

cosec ^2 theta + cot ^2 theta + 2cosec theta. cot theta =4

cosec ^2 theta + cosec ^2 theta –1+2 cos/sin^2 =4

2 cosec ^2 theta + 2 cos theta /sin ^2 theta = 4+1 2/sin^2 theta + 2 cos theta /sin^2 theta =5 (.. cosec^2 = 1/sin^2 )

2+2 cos theta /sin^2 theta =5

2(1+ cos theta) /(1-cos^2 theta) =5

2( 1+cos theta) /(1- cos theta) (1+ cos theta) cot =5

5x1- cos theta = 2

5x 5cos theta =2

5cos theta = 5-2

5cos theta =3

•°• cos theta =3/5