Get clear, concise, and accurate answers to your questions on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

The terminal side of theta in standard position contains the point (-4,-2).
Find the exact value for sine theta:


Sagot :

Answer:

sin(θ) = -0.894

Step-by-step explanation:

If we have a point (x, y), the angle formed between the positive x-axis and the ray that connects the origin with the point is given by:

tan(θ) = y/x

cos(θ) = y/√(x^2 + y^2)

sin(θ) = x/√(x^2 + y^2)

Here we have the point (-4, -2)

so we have:

x = -4

y = -2

Replacing these values in the sine equation, we get:

sin(θ) = -4/√((-4)^2 + (-2)^2)

sin(θ) = -0.894