Question

16/sin(-25п/4)cos(29п/4)

Answer 1

Ответ:

16

Объяснение:

-16/√2/2×(-√2/2)=-32/√2×(-√2/2)=16

Answer 2

To evaluate the expression 16/sin(-25π/4)cos(29π/4), let's break it down step by step.

First, let's simplify the trigonometric functions: sin(-25π/4) = sin(-6.25π) = sin(0.75π) = sin(3π/4) = sqrt(2)/2 (since sin(3π/4) is positive and equal to sqrt(2)/2).

cos(29π/4) = cos(7.25π) = cos(0.75π) = cos(3π/4) = -sqrt(2)/2 (since cos(3π/4) is negative and equal to -sqrt(2)/2).

Now, we can substitute the simplified values into the expression: 16 / (sqrt(2)/2) * (-sqrt(2)/2)

Simplifying further: 16 * (2/sqrt(2)) * (-sqrt(2)/2) = 16 * (2 * -1/2) = 16 * -1 = -16

Therefore, the value of the expression 16/sin(-25π/4)cos(29π/4) is -16.