If sin theta/x = cos theta /y then sin theta - cos theta is?
VENUGOPAL , 8 Years ago
Grade 10
10 grade maths> If sin theta/x = cos theta /y then sin th...
2 Answers
sonika p
sin theta/x = cos theta/y
sin theta/cos theta = x/y
tan theta = x/y
sin theta = x/root(x2+y2) and cos theta = y/root(x2+y2)
sin theta – cos theta = (x-y)/root(x2+y2)
subhankar
sin theta/x=costheta/y
sin theta/cos theta = x/y
therefore, sin theta=x and cos theta = y
then sin theta-cos theta = x-y/root 1
root 1 because its value is 1 so we asssume
root 1 can be written in trigonometric form that is sin^2a+cos^a=1
so sin theta – cos theta = x-y/root sin^2 theta + cos^2 theta
= x-y/root x^2+y^2
since the valuse of sin and cos in this question above.
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