Math, asked by vasanth005, 11 months ago

prove that sin square 25 degree + sin square 65 degree is equal to 1​

Answers

Answered by mysticd
19

Solution:

___________________

We know that,

i ) sin(90-A) = cosA

ii) sin²A + cos²A =1

____________________

Now ,

sin²25 + sin²65

= sin² 25 + sin² (90-25)

= sin² 25°+ cos² 25

= 1

••••

Answered by Anonymous
4

Consider the provided information.

\sin^2A\cos^2B-\cos^2A\sin^2B=\sin^2A-\sin^2B

Consider the LHS.

\sin^2A\cos^2B-\cos^2A\sin^2B

\sin^2A(1-\sin^2B)-(1-\sin^2A)\sin^2B               (∴\cos^2x=1-\sin^2x)

\sin^2A-\sin^2A\sin^2B-\sin^2B+\sin^2A\sin^2B

\sin^2A-\sin^2B

Hence, proved.

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