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

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!