Question : Find the value of $\sin^2 25^\circ+\sin^2 65^\circ$:
Option 1: $-1$
Option 2: $\frac{1}{2}$
Option 3: $0$
Option 4: $1$
Answer (1)
21st Jan, 2024
Correct Answer: $1$
Solution :
Given: $\sin^2 25^\circ+\sin^2 65^\circ$
$= \sin^2 25^\circ+\sin^2 (90^\circ – 65^\circ)$
$= \sin^2 25^\circ+\cos^2 25^\circ=1$
Hence, the correct answer is $1$.
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