Question

If A lies in the second quadrant and 3tanA+4=0,the value of 2cotA-5cosA+sinA is equal to.?

Answer 1

3tanA + 4 = 0

3tanA = -4

tanA = -4/3

now we draw a right triangle using the x and y axes as the legs with y=4 and x=-3.

x is negative because it says A is in the second quadrant and x values are negative there.

We can determine the length of the hypotenuse which is 5.

Using this triangle, determine the values of cotA, cosA, and sinA

use these values to determine the value of the expression 2cotA - 5cosA + sinA

your answer should be 23/10 or 2.3