Question

If cot Q=7/8, evaluate
(1+ SinQ) (1- SinQ)
(I+ CosQ) (1-cosQ)​

Answer 1

Answer:

If cot Q=7/8

so tan Q=8/7

Perpendicular=8

Base=7

Hypot=√7²+8²

= √49+64

=√113

(1+SinQ)(1-SinQ)

= 1-Sin²Q

= 1 - 8²/√113²

= 113-64/113

=49/113

Now Cos Q=7/√113

(1+CosQ)(1-CosQ)

1-Cos²Q

1-7²/√113²

1-49/113

113-49/113

64/113