# Name the quadrant in which the given conditions are satisfied: sin(θ)>0,cos(θ)>0.Given: tan(θ)=−3√3 and sec(θ)>0. Which of the following can be the angle θ?Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant IV and x=57, find tan(θ).Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and y=513, find cot(θ)+csc(θ).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter79: Computing Compound Angles On Cutting And Forming Tools
Section: Chapter Questions
Problem 30A
Question

Name the quadrant in which the given conditions are satisfied: sin(θ)>0,cos(θ)>0.

Given: tan(θ)=−3√3 and sec(θ)>0. Which of the following can be the angle θ?

Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant IV and x=57, find tan(θ).
Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and y=513, find cot(θ)+csc(θ).

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