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Given sine of alpha equals 2/3 and cosine of alpha is less than zero, find the exact value of the other five trigonometric functions

Respuesta :

2/3 would be very incorrect this answer is completely wrong

Answer:

Step-by-step explanation:

Solution:

It is given that

cosθ = -2/5

We know that if tanθ > 0 cosθ < 0 then sinθ < 0 when θ is in third quadrant

We can use the formula

sinθ = -√(1 - cos2θ)

Substituting the values

sinθ = -√(1 - (-2/5)2)

sinθ = -√(1 - (4/25))

Taking LCM

sinθ = -√[25 - 4]/25

sinθ = -√(21/25)

sinθ = -√21/5

Therefore, the value of sinθ is -√21/5.

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