# Trigonometric functions

1)I have a right triangle. the hypotenuse is 7 the opposite leg is x and an angle is 32.

Which equation can be used to find x?
A)sin32=x/7
B)cot32=7/x
C)tan32=x/7
D)cos32=x/7
I chose D

2)A right triangle 26 is the hypotenuse,opposite leg is 15.

Find A to the nearest degree.
A)55
B)30
C)35
D)60
I chose C

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1. 1 disagree
Sin 32 = opposite / hypotenuse
sin 32 = x / 7

2
sin A = 15/26
sin A = .577
A = 35.23 agree choose C

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2. For question 1, we need a trig function that equals opposite over hypotenuse.

Which one?

Tangent = OPP/HYP

To find x we use CHOICE (C).

============================

For question 2, we are looking for angle A.

We use tan(A) = OPP/HYP

tan(A) = 15/26

Since we are looking for an angle, we MUST use the inverse key. Keep that in mind!

Let arc = INVERSE

Then tanarc = the inverse of tangent

A = tanarc(15/26)

A = 29.98163937

When we round the decimal number above to the nearest degree, we are really rounding the whole number (our 29) to the nearest tens place.

What is 29 rounded to the neaesrt tens place?

Final Answer: 30....Choice (B)

Done!

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3. Jon,

I made a mistake.

Sorry!

sine = OPP/HYP NOT tangent.

It was a simple mistake.

Damon got it right.

Thanks, Damon!

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