sin theta = 13/85
perpendicular = 13
hypotenuse = 85
base = sqrt [ 85^2 - 13^2 ] = 84
cos theta = 84/85
sin 2 theta = 2 sin theta cos theta
= 2 ( 13/85) ( 84/85)
= 2184/7225
sin 2 theta = 2184 / 7225 |
b)
cos 2 theta = cos^2 theta - sin^2 theta
= ( 84/85)^2 - ( 13/85)^2
= 7056 - 169 / 7225
= 6887/7225
cos 2 theta = 6887 / 7225 |
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