Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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