Q. 10.tan theta +cot theta = sec theta csc theta
Ans.
start from left side
tan theta + cot theta
convert sines into cosines
write tan theta in sines and cosines using quotient identity
sin theta/cos theta/cot theta
write cot theta in sines and cosines using quotient identity
sin theta/cos theta+cos theta/sin theta
sin theta sin theta+cos theta cos theta/cos theta sin theta
Apply pythagorean identity
1/cos theta csc theta
1/cos theta.1/sin theta
Multiply 1/cos theta and 1/sin theta
1/cos theta sin theta
I hope it will be helpful for you
