Question

Sin^2(19(π+3))+cos^2(19(π-3))+18 Відповідь повинна вийти 19.

Answer 1

$\sin^2(19\pi+3\cdot19)+\cos^2(19\pi-3\cdot19)+18=\\ \\ =\sin^2(3\cdot19)+\cos^2(3\cdot19)+18=1+18=19$

Answer 2

Calculation of the Expression

To calculate the expression sin^2(19(π+3)) + cos^2(19(π-3)) + 18, we can break it down step by step.

1. Let's start with the first term, sin^2(19(π+3)). - The expression inside the sine function, 19(π+3), can be simplified to 19π + 57. - Now we have sin^2(19π + 57).

2. Moving on to the second term, cos^2(19(π-3)). - The expression inside the cosine function, 19(π-3), can be simplified to 19π - 57. - Now we have cos^2(19π - 57).

3. Finally, we add the third term, 18.

Putting it all together, we have the expression sin^2(19π + 57) + cos^2(19π - 57) + 18.

Now, let's calculate the value of this expression.