given cot theta is equals to 7 by 8 then evaluate sin theta + cos theta
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cot theta=7/8= b/p
now we have the evalute (1+ sin theta)
(1-sin theta)/(1+ sin theta)*(1- cos theta)
by paithagorash therom.
h=√p^2+b^2
h=√49+64=√113
sin theta p/h=81√113 and cos theta =b/h=7/√113
now (1+ sin theta)(1- sin theta)/(1+ cos theta)(1-cos theta)
=1- sin^2theta/1-cos^2theta
(1-(8√113)^2)/(1-√7/√113)^2)
=1-64/113/1-49-113
49/64
hence(1+sin theta) (1-sin theta)/(1+cos theta)(1-cos theta)
=49/64.
Step-by-step explanation:
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