Question

⇢Question:-

sin²5 + sin²10 + sin²15 + ••• + sin²85° + sin²(90°) =?

ㅤㅤㅤㅤㅤ⚘After a long time​

Answer 1

Explanation:

sin²(5) + sin²(10) + sin²(15) + ... + sin²(90 - 15) + sin²(90 - 10) + sin²(90 - 5) + sin²(90°)

As we know that sin(90 - theta) = cos theta

Therefore, sin²5 + sin²10 + sin²15 + ... + cos²15 + cos²10 + cos²5 + sin²90

Now we all know that sin²a + cos²a = 1

Therefore sin²5 + cos²5 = 1

Similarly, we will simplify the expressions.

But sin²90° and sin²45° would be left so we will add their individual values.

sin²90 = 1 and sin²45 = 1/2

So the expression would become 1*8 + 1 + 1/2

= 19/2

Answer 2

Answer:

Hope that helps you

Explanation:

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