alyssabeck092803
alyssabeck092803 alyssabeck092803
  • 22-02-2021
  • Mathematics
contestada

simplify cot^2 theta + 1.
a. csc^2 theta
b. 0
c. cot^2 theta
d. cos^2 theta

simplify cot2 theta 1 a csc2 theta b 0 c cot2 theta d cos2 theta class=

Respuesta :

jimrgrant1 jimrgrant1
  • 22-02-2021

Answer:

A

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by sin²x

[tex]\frac{sin^2x}{sin^2x}[/tex] + [tex]\frac{cos^2x}{sin^2x}[/tex] = [tex]\frac{1}{sin^2x}[/tex] , that is

1 + cot²x = csc²x

Thus

cot²θ + 1 = csc²θ → A

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