Question

Prove. cosec 45 = under root 2

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

cosec=hypotenuse/perpendicular

If one acute angle in a right-angled triangle is 45˚, then by Angle Sum Property the other acute angle will also be 45˚.

Then, the base and perpendicular will be equal.

Let perpendicular=x  and hypotenuse=y

By Pythagoras theorem,

(base)²+(perpendicular)²=(hypotenuse)²

x²+x²=y²

y²=2x²

y=√2x

Then,

coses45˚=y/x

              =√2x/x

              =√2