Question

sec (tan^-1(-4) + sin^-1(1/3))
I know tangent is in the IV quadrant. How can I tell what sin and cos are?

Answer 1

why is tangent in IV quadrant?

Answer 2

sin is +ve in 1st and second quadrant

Answer 3

because it can only occur in the first our fourth qudrant

Answer 4

the doman is -pi/2<x<pi/2

Answer 5

thats the domain for the inverse function of tangent

Answer 6

Hmm that is true! same way you can do for inverse of sin it's range is also in between -pi/2 to pi/2

Answer 7

so is tangent 8/2 or is it 16/4 i mean i guess it doesnt matter because the proportions would all be the same

Answer 8

Just use the calculator to get the angles and proceed not sure what is the doubt

Answer 9

can you simplify sqrt68

Answer 10

2sqrt 17

Answer 11

got it

Answer 12

I believer using cos(A+B) = cos(A)cos(B) - sin(A)sin(B) will do the trick

Answer 13

why is that

Answer 14

and then put 1/cos for the sec value?

Answer 15

yes