Question

If x is in first quadrant and sinx=cosx,then"x"=?

Answer 1

x = 45° or π/4  if If x is in first quadrant and sinx=cosx

Step-by-step explanation:

Sinx = Cosx

Dividing both sides by cosx

=> Sinx/Cosx = Cosx/Cosx

=> Tanx = 1

=> x = π/4  or 45°

Another method

Sinx = Cosx

=> Sinx - Cosx = 0

Squaring both sides

=> Sin²x + Cos²x - 2SinxCosx = 0

=> 1 - Sin2x = 0

=> Sin2x = 1

=> 2x = 90°  or π/2

=> x = 45° or π/4

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