Question

Given that cos θ = -8/17 and sin θ is negative, determine the value of tan θ.

a) 1.375
b) -1.375
c) -0.4706
d) 0.4706

Answer 1

To find the value of tan θ given cos θ = -8/17 and sin θ is negative, we can use the relationship between sine, cosine, and tangent.

Step-by-step explanation:

To determine the value of tan θ, we can use the relationship between sine, cosine, and tangent. Since cos θ = -8/17 and sin θ is negative, we can use the formula tan θ = sin θ / cos θ. Substituting the values, we get tan θ = (sin θ) / (-8/17). Since we know that sin θ is negative, we can write the expression as tan θ = -sin θ / (8/17). Now, we can substitute the negative value of sin θ and calculate the value of tan θ.