Question

cosQ/1+sinQ+1+sinQ/cosQ=2secQ​

Answer 1

Step-by-step explanation:

cos (1+sin)

(1+sin) + cos

= cos2 + (1+sin)2

cos*(1+sin)

= cos2 + 1 + 2sin + sin2

cos*(1+sin)

we know that cos2 + sin2 = 1

= (1+1+2sin)

cos*(1+sin)

= (2+2sin)

cos*(1+sin)

= 2(1+sin)

cos*(1+sin)

= 2

cos

= 2sec

Answer 2

Step-by-step explanation:

$\cos(q) \div sinq + 1 + \sin(q) \div \cos(q) \\ \cos {}^{2} q + (1 + sinq) ^{2} \div (sinq(1 + cosq) \\ cos ^{2} q + 1 + 2sinq + sin ^{2} q \div (sinq(1 + cosq) \\ 2(1 + sinq) \div (cosq(1 + sinq) \\ 2secq \: proved$