Show that `(1)/(cos theta) - cos theta = tan theta. sin theta`

Show that 1/ Sin theta - Sin theta = Cot theta. Cos theta

Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2 sec theta

Prove that ((cos theta-cos 3 theta)(sin 8 theta +sin 2 theta))/((sin 5 theta-sin theta)(cos 4 theta-cos 6 theta))=1

Show that (Sin theta + Cos theta)^2 - (Sin theta - Cos theta)^2 = 4 Sin theta Cos theta

show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = cot theta

(cos theta + sin theta )/( cos theta - sin theta )-(cos theta - sin theta )/( cos theta + sin theta ) =

Prove that (sin theta - cos theta + 1)/(sin theta + cos theta - 1) = (1)/(sec theta - tan theta) using the identity sec^(2) theta = 1 + tan^(2) theta .

("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + cot theta ) =

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

1-(sin^(2) theta)/(1+cos theta) + (1+cos theta)/(sin theta) - (sin theta)/(1-cos theta) - (1)/(sec theta)=