Question

If Tan theta= 3,
what is the value of
(5sin theta - 3cos theta/ 4sin theta + 3 cos theta)

Answer 1

Answer:

Step-by-step explanation:

Given,

tan theta= 3/1

tan theta= sin theta/ cos theta

sin theta/ cos theta = 3/1

substituting the values we get,

5(3)-3(1)/4(3)+3(1)

15-3/12+3

12/15

4/5

Answer 2

5sinθ - 3cosθ/ 4sinθ + 3 cosθ = 4 / 5

Explanation:

tan θ= 3/1

tanθ= sin θ/ cos θ

sinθ = 3

cosθ = 1

sin θ/ cos θ = 3/1

by substituting in 5sinθ - 3cosθ/ 4sinθ + 3 cosθ we get,

5(3) - 3(1) / 4(3)+ 3(1)

=>15-3/12+3

=>12/15

=>4/5.

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