Question

sin theta + cos theta =x then show that tan theta + cot theta = 2/x²-1

Answer 1

hello friends.....

here given ...
sin θ + cos θ = x

we have to find 
tanθ + cot θ =? 

solution:-
sin θ + cos θ = x
now square on both side 
= ( sin θ + cos θ )² = x2
= (sin² θ + cos² θ )+ 2 sin θ cos θ = x2
= 1+ 2sin θ cos θ = x2
=> sin θ cos θ = x2/2
now solve own