Let theta be an angle in standard position, sin⁡θ&lt;0,cos⁡θ&gt;0. Name the quadrant in which theta lies.

Question

Let theta be an angle in standard position, sin⁡θ&amp;lt;0,cos⁡θ&amp;gt;0. Name the quadrant in which theta lies.

Demi-Leigh Barrera · Accepted Answer

as we know that:  (1)in first quadrant all trigonometric functions are positive.  (2)in second quadrant sine and cosecant trigonometric functions are positive and rest trigonometric functions are negative.  (3)in third quadrant tangent and cotangent trigonometric functions are positive and rest trigonometric functions are negative.  (4)in fourth quadrant cosine and secant trigonometric functions are positive and rest trigonometric functions are negative.  as sin⁡θ&amp;lt;0,cos⁡θ&amp;gt;0,  therefore we can say that the angle theta lies in the fourth quadrant.  therefore, the quadrant in which theta lies is fourth quadrant.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Let theta be an angle in standard position, sin theta < 0, cos theta > 0. Name the quadrant in which theta lies.

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