Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *

Step-by-step explanation:

Given

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

Going by the Pythagoras theorem, we can assume the following.

So, we have:

Having said that:

The expression can be further simplified as:

Substitute values for sin and cos

becomes

question:

could we have options?

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