Question

PLEASE PLEASE


PROVE THAT ,PLZ PLZ PLZ

SIN7∅ - SIN5∅
________________ = TAN∅
COS7∅ + COS 5∅

Answer 1

Hi,

Here is your answer,

                L.H.S. → sin7θ - sin5θ/cos7θ + cos5θ = tanθ

→ 2 cos{(7θ + 5θ)/2} sin{(7θ - 5θ)/2} / 2 cos{(7θ + 5θ)/2} cos{(7θ - 5θ)/2}

→ 2 cos6θ sinθ / 2 cos6θ cosθ

→ sinθ / cosθ

→ tanθ

= R.H.S (PROVED)


Hope it helps you !