Suppose θ is an angle in the standard position whose terminal side is in quadrant iv and cot θ= -6/7 . find the exact values of the five remaining trigonometric functions of θ. show your work

Part 1)

Part 2)  or

Part 3)

Part 4) or

Part 5)

Step-by-step explanation:

we know that

The angle theta lie on the IV Quadrant

so

sin(θ) is negative

cos(θ) is positive

tan(θ) is negative

sec(θ) is positive

csc(θ) is negative

step 1

Find the value of csc(θ)

we know that

we have

substitute

rewrite

----> remember that is negative

step 2

Find the value of sin(θ)

we know that

we have

therefore

or

step 3

Find the value of  tan(θ)

we know that

we have

therefore

step 4

Find the value of cos(θ)

we know that

we have

substitute

------> the cosine is positive

or

step 5

Find the value of sec(θ)

we know that

we have

therefore

----> is positive

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step-by-step explanation: