Question

prove that 1+sin a -cos a/1+sin +cos a = √1-cos a/1+cos a

URGENT PLS!!!

Answer 1

Solution
∫ √1+cos (1 − cos)5/2
1 + cos = 2cos2 2
We are given We know that
Then we have
∫ √1+cos =∫ (1 − cos)5/2
Apply power rule: ∫ = +1 + +1
1−4 1 1
=−2 4 +=−84+=−8sin4()+
1 − cos = 2sin2 2
√2cos2
2 =∫
√2cos
2 =∫
cos
2 ()=
(2sin2 )5/2
4sin5
(2)5/2sin5 222
1 cos 1 (sin) 1 1
∫ 2( )= ∫ 2 =|=sin |= ∫ = ∫−5= 2 sin5 2 2 sin5 2 2 5 2
22
Answer:∫ √1+cos =− 1 + (1−cos)5/2 8sin4()
2
2