Question

Q5. If tan0=4/3 then find the value of (2sin-cos)/(2sin+3cose)​

Answer 1

Answer:

since tan=4/3

on plotting a right triangle with perpendicular=4 and base is 3

we get sin=4/5

and cos=3/5

so (2sin-cos)/(2sin+3cos=

(2*4/5 -3/5) / (2*4/5 +3*3/5)

(8/5-3/5) /(8/5 + 9/5)

(5/5) / (17/5)

=5/17

so the answer is 5/17

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