Question

What does this mean ?

cos θ > 0

Answer 1

what does this mean

x > 3

Answer 2

x is greater than three

Answer 3

so , cos theta is greater than zero, what about it?

Answer 4

90> θ>0 then cosθ>0

Answer 5

is it in Quadrant 1 ? @nonamenever

Answer 6

yep

Answer 7

what is the question exactly?

Answer 8

cos(x) > 0 in the interval (-pi/2, +pi/2)
Since cos is a periodic function, you can add any integer multiple of 2pi to the above interval and cos will be > 0.

Answer 9

Find the exact value of the expression.
sin θ = − 1/ 5
and cos θ > 0; find tan θ.

Answer 10

sin(x) = -1/5 = -0.2
x = -11.54 degrees
cos(-11.54) = 0.98
tan(x) = sin(x) / cos(x) = -0.2 / 0.98 = ?

Answer 11

in the sample problem , the answer is a fraction in radian form. they did not solve for the angle

Answer 12

which I assume,

Answer 13

There are different ways of solving the same problem and arriving at the same answer.
You can draw a right angle and arrive at the same answer:

Answer 14

Here they are asking for tan(x) so the answer will not be in radians. It will be a number. If they ask for x (or theta) then the answer will be in radians or degrees.

Answer 15

Without solving for the angle this is how you can find tan(x) in the diagram.
They have given you sin(x) = -1/5.
Sin(x) is opposite / hypotenuse which I have drawn and I have put a negative sign denoting a negative angle x.
The side marked with a question is: sqrt(5^2 - (-1)^2) = sqrt(24)

tan(x) = opposite / adjacent = -1 / sqrt(24) = -sqrt(24)/24 = sqrt(6)/12

Answer 16

@ranga I salute you ! thanks!

Answer 17

you are welcome.