If tan θ = -4,then sin θ is
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Given, tan θ = -4/3
Given, tan θ = -4/3We know that tan θ = Opposite/Adjacent and tan is negative in the second and fourth quadrants.
Given, tan θ = -4/3We know that tan θ = Opposite/Adjacent and tan is negative in the second and fourth quadrants.sin is positive in the second quadrant and negative in the fourth quadrant.
Thus, sin θ can be positive or negative in this case.
Thus, sin θ can be positive or negative in this case.Also, by Pythagorean triple, hypotenuse = 5
Thus, sin θ can be positive or negative in this case.Also, by Pythagorean triple, hypotenuse = 5Therefore, sin θ = 4/5 or sin θ = -4/5
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the ans is -4/5
hope it helps
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