Question

If sin q + cos q= 13 , then prove that tan 0 + cot 0 = 1.

Please Provide Detailed Solution!​

Answer 1

Step-by-step explanation:

Sin q + cos q =|3

Squaring on both side

Sin2 q + cos2 q + 2sinq cosq=3

2sinqcosq=3-1

2sinq cosq=2

Sinq.cosq=1

Sinq.cosq=sin2q + cos2q

1=sin2q+cos2q/cosq.sinq

1=tan0+cot0