How do you simplify cos ((pi)/2) - feta?
To simplify the expression cos((π/2) - θ), we can use the trigonometric identity known as the cosine of a difference formula.
The cosine of a difference formula is defined as cos(a - b) = cos(a)cos(b) + sin(a)sin(b).
In this case, we have cos((π/2) - θ). Let's denote θ as feta for simplicity.
So, we can rewrite the expression as:
cos((π/2) - feta) = cos(π/2)cos(feta) + sin(π/2)sin(feta)
Now, let's evaluate the values of cos(π/2) and sin(π/2).
The cosine of π/2 is equal to 0, and the sine of π/2 is equal to 1.
Substituting these values into our expression, we get:
cos((π/2) - feta) = 0*cos(feta) + 1*sin(feta)
This simplifies to:
cos((π/2) - feta) = sin(feta)
Therefore, the simplified expression is sin(feta).