If 3x 4y 0 x 0 is the terminal side of angle theta in sta

If 3x + 4y = 0, x >= 0 is the terminal side of angle theta in standard position, find the values of six trigonometric functions of theta.

Solution

3x+4y=0

4y=-3x

y=-3/4*x

so tan theta = -3/4   since   slope = tan theta

we have to solve for hypotenuse if a=-3 ,b= 4 we got hypoteuse= 5

sin theta = -3/5

cos theta =4/5

tan theta = -3/4

sec theta=5/4

csc theta = -5/3

cot theta = -4/3    answer

If 3x + 4y = 0, x >= 0 is the terminal side of angle theta in standard position, find the values of six trigonometric functions of theta.Solution3x+4y=0 4y=-

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