Question

Draw a right angle triangle ABC such that angle ABC=90 degree Consider angel BAC=theta then a) write sin theta and hence sin square theta b) write cos theta and cos square theta simplify sin square theta +cos square theta and write your renowet

Answer 1

Sinθ  =  BC/AC  &   Sin²θ  =  BC²/AC²  and Cosθ  =  AB/AC  &   Cos²θ  =  AB²/AC²

Step-by-step explanation:

right angled ∆ ABC

∠ABC = ∠B  = 90°

∠BAC = ∠A  = θ

Draw a line segment AB

Draw an angle of 90 deg at B on AB using setsquare / protector

Draw an acute angle (let say θ) at A on AB using protector such that it intersect angle drawn earlier at C

ΔABC is constructed

AB = Base

BC = Perpendicular

AC = hypotenuse

Sinθ  = Perpendicular / Hypotenuse

=> Sinθ  =  BC/AC

   Sin²θ  =  BC²/AC²

Cosθ  = Base / Hypotenuse

=> Cosθ  =  AB/AC

 Cos²θ  =  AB²/AC²

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