Question

Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1

Answer 1

Answer: (a)

Step-by-step explanation:

Given

angle is $270^{\circ}$

Sine and cosine at this angle is

$\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0$

Put the values in the identity $\sin ^2\phi +\cos^2 \phi=1$

$\Rightarrow (-1)^2+(0)^2=1$

The same thing is depicted by option (a)

Answer 2

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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