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

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step-by-step explanation:

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above