Question

If (cos(wᶜirc) = sin(zᶜirc)), which of the following statements is true?

a) (wᶜirc = 90 - zᶜirc)

b) (wᶜirc + zᶜirc = 90)

c) (wᶜirc = zᶜirc)

d) (wᶜirc + zᶜirc = 180)

Answer 1

In the given equation cos(wᶜirc) = sin(zᶜirc), the correct statement is (a) (wᶜirc = 90 - zᶜirc) based on the trigonometric identity cos(x) = sin(90° - x). Hence the correct answer is option A

Step-by-step explanation:

The given equation is cos(wᶜirc) = sin(zᶜirc). We need to determine which statement is true based on this condition. To solve this, we can use the trigonometric identities: cos(x) = sin(90° - x) and sin(x) = cos(90° - x).

Here, we have cos(wᶜirc) = sin(zᶜirc), which means wᶜirc = 90° - zᶜirc (using the identity cos(x) = sin(90° - x)). Therefore, the correct statement is (a) (wᶜirc = 90 - zᶜirc).