Question

(1+ sin) / (cos) + (cos) / (1+sin) = 2 sec​

Answer 1

Step-by-step explanation:

cos^2/cos^2+sin/cos

2sec

Answer 2

(1+sin)/(cos) +(cos)/(1+ sin)

Take LCM

((1+sin)²+cos²)/cos(1+sin)

1+sin²+2sin+cos²/cos (1+sin)

1+sin²+cos²+2sin/cos(1+sin)

1+1+2sin/cos(1+sin)

2+2sin/cos(1+sin)

bring out 2

2(1+sin)/cos (1+sin)

2/cos (:1/cos=sec)

2sec