Determine the quadrant where θ lies given that sinθ < 0 and tanθ > 0. i ii iii iv

Option c. is correct.

Step-by-step explanation:

if < 0 means values of will be negative.

For > 0 means  positive value of

values of and  both should be either > 0 or < 0 for the poitive values of . If any one, sine or cosine is negative then will be < 0

We know that for the condition and < 0 value of  should be negative.

Therefore, should lie in 3rd quadrant where and both are negative.

Option C. 3rd option is correct.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.