Question

3cos^2 997°+3sin^2 83°​

Answer 1

Ответ: 3cos (227°)²+ 3sin(83°)

≈3

Answer 2

To simplify the expression 3cos^2(997°) + 3sin^2(83°), you can use trigonometric identities.

First, we'll use the identity: cos^2(x) + sin^2(x) = 1

This identity holds for any angle x. Now, let's rewrite the given expression:

3cos^2(997°) + 3sin^2(83°) = 3(cos^2(997°) + sin^2(83°))

Now, apply the identity:

3(cos^2(997°) + sin^2(83°)) = 3(1)

Since cos^2(x) + sin^2(x) equals 1 for any angle x, the expression simplifies to:

3(1) = 3

So, the simplified value of 3cos^2(997°) + 3sin^2(83°) is 3.