Complete the sentence so the result is an identity. Let x be any real number

Question

-1=tan²x

a. sec²x

b. sin²x

c. cot²x

d. cos²x

Answer 1

Test an identity by plugging in the values of the sides of a right triangle: H = hypotenuse, A = adjacent, and O = opposite

EXAMPLE: sin² + cos² = 1

O²/H² + A²/H² = 1

O² + A² = H² (pythagorean theorem)

Try it for sec² = 1 + tan²

Plug in H/A for sec, and O/A for tan