HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

Hi there! Use the following identities below to help with your problem.

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

As we know, sec²θ = 1/cos²θ.

And thus,

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

Answer

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