Suppose θ is an angle in the standard position whose terminal side is in quadrant iii and sec θ=61/60. find the exact values of the five remaining trigonometric functions of θ .

Part 1)

Part 2)  

Part 3)

Part 4)

Part 5)  

Step-by-step explanation:

we know that

If angle theta lie on Quadrant III        

then

The function sine is negative

The function cosine is negative        

The function tangent is positive

The function cotangent is positive

The function cosecant is negative

The function secant is negative

step 1

Find  

we know that

we have

----> the value must be negative

therefore

step 2

Find

we know that

we have

substitute

step 3

Find

we know that

we have

therefore

step 4

Find

we know that

we have

substitute

square root both sides

step 5

Find

we know that

we have

therefore

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45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.