If sin theta = -4/5 and theta is in quadrant 4, the value of sec theta is _. If necessary, use the slash mark (/) for a fraction bar.

Step-by-step explanation:

What we need to find

Sec and cos are reciprocal identies and sin and cos are pythagorean identies so we can use those.Use the pythagorean identies to find cosine.

where x is theta.

Plug in -4/5 for x in sin squared.

cosine in the 4th quadrant is positve so 3/5 is cosine of theta.

Cosine and secant are reciprocal so just flip the numbers to find the secant.

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.