Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share? A right triangle is shown with one leg measuring 12 and another leg measuring 5. The angle across from the leg measuring 5 is marked x degrees, and the angle across from the leg measuring 12 is marked y degrees.

The answer is below

Step-by-step explanation:

Trigonometric identities are ratios used to show the relationship between the sides and angles in a right angled triangle. Some trigonometric identities are:

sinθ = opposite / hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image, let a be the hypotenuse, hence:

a² = 15² + 8²

a² = 225 + 64

a² = 289

a = 17

From the triangle:

90 + x + y = 180 (sum of angle in a triangle)

x + y = 90

It is stated that for a right angled triangle, if x + y = 90 (complementary angles) then:

sinx = cosy

To prove:

sinx = 8/17; cosy = 8/17. Hence:

sinx = cosy

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

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