1.

If sin theta + cos theta =sqrt(3), thenprovethat tantheta + cos theta = 1 .

Answer»

Solution :`sin theta + COS theta = sqrt(3)RARR 9SIN theta +sintheta)^(2) = 3`
`rArr 1+ 2 sin theta cos theta = 3 rArr sin thetacos theta = 1`
`therefore TAN theta + cottheta= (sin theta)/(cos theta) +(cos theta)/(sint theta) = 1`


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