Question

साइन ए प्लस बी इक्वल टू 15 सीएम एंड इक्वल टू –​

Answer 1

Answer:

Theta is written as A

To prove : sin^2A + cos^2A

===================

Proof :

We know, \begin{gathered}sin^2 A = \frac{height^2}{hyotenuse^2} \\ \\cos^2 A = \frac{base^2}{hypotenuse^2} \end{gathered}

sin

2

A=

hyotenuse

2

height

2

cos

2

A=

hypotenuse

2

base

2

Then,

sin^2 A + cos^2 A

\begin{gathered} \frac{height^2}{hypotenuse^2} + \frac{base^2}{hypotenuse^2} \\ \\ \frac{height^2 + base^2}{hypotenuse^2} \\ \\ \frac{hypotenuse^2}{hypotenuse^2} \\ \\ 1 \end{gathered}

hypotenuse

2

height

2

+

hypotenuse

2

base

2

hypotenuse

2

height

2

+base

2

hypotenuse

2

hypotenuse

2

1

Hence, Proved.

i hope this will help you