Question

(tex) cos^2theta + sin^theta​

Answer 1

Answer:

.........cos²∅ + sin²∅ = 1............

Answer 2

Answer:

The well known identity !!

write down the Pythagoras' Theorem for a right angled triangle !

Base^2 + Perpendicular^2 = Hypotenuse^2

Divide both sides by Hypotenuse^2

We get

(Base/Hypotenuse)^2 + (Perpendicular/Hypotenuse)^2 = 1

By definition hence,

sin^2 theta + cos^2 theta = 1

That is this result is identically true for any value of theta.

Hope this helps you !