Question

Please answer this question I need this pleseeeee

Answer 1

Answer:

option C is correct answer.

Answer 2

Step-by-step explanation:

Given sec θ = √p^2 + q^2 / q,  then find the value of p sinθ - q cosθ / p sinθ + q cosθ

• We know that sec^2 θ = tan^2 θ + 1
•       So p^2 + q^2 / q^2 = tan^2 θ + 1
•     Now tan^2 θ = p^2 + q^2 / q^2 – 1
•    So tan^2 θ = p^2 / q^2
•  So tan θ = p/q
•    Now p sin θ – q cos θ / p sin θ + q cos θ  
• Dividing by cos θ we get
•     So p tan θ – q / p tan θ + q
•      = p x p / q – q / p x p / q + q
•   = p^2 / q – q / p^2 / q + q
• = p^2 – q^2 / p^2 + q^2
• BAL