The value of 5sin² 30° + 5cos² 30°
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Question:-
➡ Find the value of 5sin²(30°) + 5cos²(30°)
Solution:-
5 sin²(30°) + 5 cos²(30°)
= 5 × (1/2)² + 5 × (√3/2)²
= 5 × 1/4 + 5 × 3/4
= 5 × (1/4 + 3/4)
= 5 × (4/4)
= 5 × 1
= 5 (Answer)
Alternative Method,
5 sin²(30°) + 5 cos²(30°)
= 5(sin²(30°) + cos²(30°))
We know that,
sin²(x) + cos²(x) = 1
So,
5(sin²(30°) + cos²(30°))
= 5 × 1
= 5 (Answer)
Answer:-
➡ 5(sin²(30°) + cos²(30°)) = 5.
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