Question

Which trigonometric ratios are correct for triangle XYZ? Check all that apply.

Answer 1

tan Y = 8/15 is correct. This 8/15 = opp side / adj side.

cos X is actually 8/17, which does not belong among the correct answers here.

tan X = 15/8 = opp / adj is correct.

sin Y = 8/17 is correct. That's opp / hyp.

cos Y = 8/17 is incorrect. Here, cos Y = adj / hyp = 15/17.

In summary, the correct statements are:

tan Y = 8/15

tan X = 15/8

sin Y = 8/17

Answer 2

The trigonometric ratios that are correct are as follows

tan x = 15/8

tan y = 8/15

sin y = 8/17

The triangle is a right angle triangle. Therefore, it the angles can be found using trigonometric ratio

tan Ф=opposite/adjacent

cos Ф = adjacent/hypotenuse

sin Ф = opposite/hypotenuse

From the right angle triangle,

tan x = 15/8

tan y = 8/15

sin y = 8/17

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