Question

Given: sinθ=p/q
find cos θ +sin θ in terms of p and q

plzzz answer it fast!!!!!

Answer 1

Answer:

(p sin θ - q cos θ)/(p sin θ + q cos θ)

= {p(sinθ/cosθ) - q(cos θ/cos θ)}/                                                                                                                                                                                     {p(sinθ/cosθ)+ q(cosθ/cosθ)}

= (p tan θ -q) / (p tan θ +q)

= {p. (p/q)-q}/{p.(p/q-q)}

= {(p²-q²)/q}/{(p²+q²)/q)

= {(p²-q²)/q}÷{(p²+q²)/q}

= {(p²-q²)/q} × {(q)/(p²+q²)}

= (p²-q²)/(p²+q²)

Hence, L.H.S. = R.H.S.(is roved)

Answer 2

Step-by-step explanation:

I hope this answer is helpful