Question

if tan theta = 1/2, evaluate 2 sin theta + 3 cos theta / 4 cos theta +3 sin theta ​

Answer 1

Answer:

12/11

Step-by-step explanation:

FOR NUMERATOR

(2 sin theta + 3 cos theta) /2 cos theta

= tan theta+3/2

= (1/2)+ 3/2=4/2=2

FOR DENOMINATOR

(4cos theta +3sin theta)/3 cos theta

= 4/3+tan theta= 4/3 +1/2

=(8+3)/6=11/6

therefore answer is

NUMERATOR/DENOMINATOR

2/(11/6) = 12/11

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