Question

If 3tanq=4 then find the value of 4cosq - sinq/2sinq + 6cosq

Answer 1

Answer:

4/13

Step-by-step explanation:

Given 3tanq = 4 => tanq = 4/3 ------(1)

tanq = sinq/cosq ------(2)

To find (4cosq - sinq)/(2sinq + 6cosq)

divide the numerator and denominator by cosq.

(4 - sinq/cosq)/(2sinq/cosq + 6)

Now substitute (2) in the above

(4 - tanq)/(2tanq + 6)

Substitute the value of tanq = 4/3

(4-4/3)/(2×4/3 +6) = 4/13