If 4 tan 0 = 3, find the value of
4 sin - cos
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4 sin 0 + cos
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Answer:
4tan = 3 ⇒ tan = 3/4
we know, tan = perpendicular/base
so, after comparing , perpendicular = 3 and base = 4
∴ hypotenuse = √(3² + 4²) = 5
now, sin = perpendicular/hypotenuse = 3/5
cos = base/hypotenuse = 4/5
now, (4sin - cos + 1)/(4sin + cos - 1)
= (4 × 3/5 - 4/5 + 1)/(4 × 3/5 + 4/5 - 1)
= (12 - 4 + 5)/(12 + 4 - 5)
= 13/11
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Answer:- 8/5 is answer is correct
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