Question

4sin tetha -2cos tetha/4sin tetha+3cos tetha if tan tetha=3/4

Answer 1

Answer:

1/6

Step-by-step explanation:

given that

(4sinθ-2cosθ)/(4sinθ+3cosθ)..................(1)

tanθ=3/4

then according to the pythagoras theorem the hypotenuse is 5

so sinθ=3/5, cosθ=4/5

by substituting these values in eq (1)

[4(3/5)-2(4/5)]/[4(3/5)+3(4/5)]

[12/5-8/5]/{12/5+12/5}

[4/5]/[24/5]

4/24

1/6

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