If `sin theta+7cos theta=5` ,then `tan(theta/2)` is a root of the equation

6sin theta+7cos theta=9 if tan theta=

If sin theta=cos theta then 2tan theta+cos^(2)theta=

If 0

If sin theta = 5/7 what is cos theta and tan theta ?

If 7 sin^2 theta +3 cos^2 theta = 4, and theta is a positive acute angle, then tan theta is equal to

If 5cos theta+7sin theta=7 then 7cos theta-5sin theta =

If 5cos theta+7sin theta=7 then 7cos theta-5sin theta=

From algebra we know that if ax^(2) +bx + c=0 , a( ne 0), b, c int R has roots alpha and beta then alpha + beta=-b/a and alpha beta = c/a . Trignometric functions sin theta and cos theta, tan theta and sec theta, " cosec " theta and cot theta obey sin^(2)theta + cos^(2)theta =1 . A linear relation in sin theta and cos theta, sec theta and tan theta or " cosec "theta and cos theta can be transformed into a quadratic equation in, say, sin theta, tan theta or cot theta respectively. And then one can apply sum and product of roots to find the desired result. Let a cos theta, b sintheta=c have two roots theta_(1) and theta_(2) . theta_(1) ne theta_(2) . The values of tan theta_(1) tan theta_(2) is (given |b| ne |c|)