Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin< 0

Using trigonometric ratio:

From the given statement:

and sin < 0

⇒ lies in the 3rd quadrant.

then;

Using trigonometry identities:

Substitute the given values we have;

Since, sin < 0

⇒

now, find :

Substitute the given values we have;

Therefore, the exact value of:

(a)

(b)

answer: 1 + 1 = 11

step-by-step explanation: