सिंपलीफाई 1 प्लस साइन थीटा मल्टीप्लाई वन माइनस साइन थीटा
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Step-by-step explanation:
Theta is written as A
To prove : sin^2A + cos^2A
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Proof :
We know, \begin{gathered}sin^2 A = \frac{height^2}{hyotenuse^2} \\ \\cos^2 A = \frac{base^2}{hypotenuse^2}\end{gathered}sin2A=hyotenuse2height2cos2A=hypotenuse2base2
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}hypotenuse2height2+hypotenuse2base2hypotenuse2height2+base2hypotenuse2hypotenuse21
Hence, Proved.
i hope this will help you
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