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If sinθ = 4/5 and cosθ < 0, then tanθ = a. -4/3 b. -3/4 c. 3/4 d. 5/4 e. 4/3
Question
If sinθ = 4/5 and cosθ < 0, then tanθ =
a. -4/3
b. -3/4
c. 3/4
d. 5/4
e. 4/3
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Mathematics
3 years
2021-08-26T08:47:28+00:00
2021-08-26T08:47:28+00:00 1 Answers
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Answers ( )
Step-by-step explanation:
Since cot²θ + 1 = csc²θ,
we have cot²θ + 1 = [1 / (4/5)]².
=> cot²θ + 1 = 25/16
=> cot²θ = 9/16
=> cotθ = -3/4 (as sine is +ve and cosine is -ve)
=> tanθ = -4/3. (A)