If `sin theta=(7)/(25)`,Find the value of `cos theta`

If theta lies in the second quadrant and tan theta=(-5)/(12) , find the value of (2cos theta)/(1-sin theta) .

If cot theta = (3)/(4) find the value of : ( sin theta- cos theta)/(sin theta+cos theta)

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

If tan theta = b/a, then find the value of a cos 2theta + b sin 2theta .

If 0^(@)lt theta lt 90^(@) and cos theta=(4)/(5) find the values of sin (270^(@)-theta)

If a cos theta-b sin theta = c, then find the value of a sin theta + b cos theta.

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If 2sin^2theta-cos^2theta=2, find the value of theta.

If tan theta=2, then the find the value of (2sinthetacostheta)/(cos^(2)theta-sin^(2)theta) .