Question

The value of 5sin² 30° + 5cos² 30° ​

Answer 1

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.

Answer 2

Answer:

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