Question

Write the expression in terms of sine and cosine:

sin² (x)+cos²(x)

A) sin(x)
B) cos(x)
C) 1
D) tan(x)

Answer 1

The expression sin²(x) + cos²(x) is a trigonometric identity known as the Pythagorean Identity, which states that sin²(x) + cos²(x) = 1.

Step-by-step explanation:

The expression sin²(x) + cos²(x) is a trigonometric identity known as the Pythagorean Identity. It states that the sum of the squares of the sine and cosine functions of an angle x is equal to 1.

Therefore, sin²(x) + cos²(x) = 1.

So, the correct answer is option C) 1.