Question

Cos(3п/2-a)*sin(2п+a)

Answer 1

Ответ:

Пошаговое объяснение:формулы приведения!

cos(3п/2-a)= - sina           sin(2п+a)=sina   cos(3п/2-a)*sin(2п+a)=-sin^2a

Answer 2

To simplify the expression cos(3π/2 - a) * sin(2π + a), let's break it down step by step:

1. Use the trigonometric identity cos(π/2 - x) = sin(x) to rewrite cos(3π/2 - a): cos(3π/2 - a) = sin(a)

2. Expand sin(2π + a) using the periodicity of sine function: sin(2π + a) = sin(a)

Now we have sin(a) * sin(a) = sin^2(a).

Therefore, cos(3π/2 - a) * sin(2π + a) simplifies to sin^2(a).