Question

derive trignometric ratios of 45​

Answer 1

Answer:

Trigonometrical Ratios of 45°

Let a rotating line

→OX rotates about O in the anti-clockwise sense and starting from the initial position

→OX traces out ∠AOB = 45°.

Take a point P on →OY and draw \(\overline{PQ}

Now, ∠OPQ = 180° - ∠POQ - ∠PQO.

= 180° - 45° - 90°

= 45°

Therefore, in the △OPQ we have, ∠QOP = ∠OPQ.