Angle A is in standard position and terminates in quadrant IV. If sec(A)=4/3, complete the steps to find cot(A).

Use the identity to find the value of (A).

Thank you in advance !!
Cheers, Z

Part A) Use the identity

Part B)

Step-by-step explanation:

we know that

----> by trigonometric identity

we have

substitute in the expression above

solve for tan(A)

square root both sides

Remember that Angle A terminates in quadrant IV

so

The value of tan(A) is negative

Find the value of cot(A)

we know that

----> is the reciprocal

therefore

simplify

correct

step-by-step explanation: