Look at the figure if tan x=3/y and cos x =y/z what is the value of sin x?
2 answers:
Answer: sin x° = 3/z( answer
Because tan is opposite/adjacent,
Cos is adjacent/hypotenuse and sin is opposite/hypotenuse the information to find sin is given. You simply take the opposite (3) and put it over the hypotenuse (z)
sin x°= 3/z
Recall:
The
tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :
.
Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.
(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)
Similarly,
.
The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.
Now the sides of the right triangle are complete.
Answer: A
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