If `sectheta=13/5`, show that `(2sintheta-3costheta)/(4sintheta-9costheta)=3`

If 21 tan theta= 20 , show that (1-sintheta+costheta)/(1+sintheta+costheta)=3/7

Answer the following by a number or a word or a sentence : If 4tantheta=3, then find the value of (4sintheta-costheta)/(4sintheta+costheta)

Prove the following : (All angles are acute angles.) (sintheta+costheta)/(sintheta-costheta)+(sintheta-costheta)/(sintheta+costheta)=2/(sin^(2)theta-cos^(2)theta)

If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos theta) / (sintheta +2 cos theta ) = 5/14

Prove the following identities : (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta)

If tantheta=a/b , find the value of (costheta+sintheta)/(costheta-sintheta)

Simplify : costheta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sintheta,-costheta),(costheta,sintheta):}]

If cot theta=7/8 , evaluate: ((1+sintheta)(1-sintheta))/((1+costheta)(1-costheta))

The vertices of a triangle are A(x_1, x_1tantheta_1),B(x_2, x_2tantheta_2)a n dC(x_3, x_3tantheta_3)dot if the circumcentre of "Delta"A B C coincides with the origin and H( x , y ) is the orthocentre, show that y/( x )=(sintheta_1+ sintheta_2+sintheta_3)/(costheta_1+costheta_2+costheta_3)