Ara3333 Ara3333

15-01-2021
Mathematics

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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

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Respuesta :

ChoiSungHyun ChoiSungHyun

15-01-2021

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)

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