If the points `(1,1):(0,sec^2theta);` and `(cos e c^2theta,0)` are collinear, then find the value of `theta`

tan^(2)theta+sec theta=5, then find the value of cos theta

If the points (-2,0),(-1,(1)/(sqrt(3))) and (cos theta,sin theta) are collinear then the number of value of theta is :

If the points (-2, 0), (-1,(1)/(sqrt(3))) and (cos theta, sin theta) are collinear, then the number of value of theta in [0, 2pi] is

If 2tan^(-1)(cos theta)=tan^(-1)(2csc theta),(theta!=0), then find the value of theta.

If (cos^(2)theta)/(cot^(2)theta-cos^(2)theta)=3and0^(@)ltthetalt90^(@) , then find the value of theta .

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

(i) The points (-1, 0), (4, -2) and (cos 2theta, sin 2 theta) are collinear (ii) The points (-1,0), (4, -2) and ((1-tan^(2)theta)/(1+tan^(2)theta),(2tan theta)/(1+tan^(2)theta)) are collinear

If cos theta+sec theta=-2 for theta in[0,2 pi] then find the value of sin^(8)theta+cos^(8)theta