Question

prove that Sin^2 25 + Sin^2 65 =1
URGENT!!!!!​

Answer 1

Answer:

sin^2 25 + sin^2 65 = 1

sin^2(90- 65) + sin^2 65 = 1

cos^2 65 + sin^2 65 = 1 (because of sin(90- theeta) = cos theeta)

so

cos^2 65 + sin^2 25 = 1

1=1 HENCE PROVED

BECAUSE (sin^2 + cos^2 = 1)

please Mark this as Brainliest

thank You

Answer 2

LHS

$\sin {}^{2} (25) + \sin {}^{2} (65)$

we know that sin( 90-x) = cos X

then

$= \sin {}^{2} (90 - 65) + \sin {}^{2} (65)$

we know that

$\sin {}^{2} (x) + \cos {}^{2} (x) = 1$

then ,

$\cos {}^{2} (65) + sin {}^{2} 65 = 1$

the hence proved ...

I hope it help you ❤️.

good night.....

❤️❤️❤️❤️❤️