3 years ago

If sinθ = 4/5 and cosθ < 0, then tanθ = a. -4/3 b. -3/4 c. 3/4 d. 5/4 e. 4/3

Mathematics

1 answer:

Alja [10]3 years ago

8 0

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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