Problem

Find the signs of the six trigonometric function values for the given angle. \[ 303^{\circ} \] $\sin 303^{\circ}$ is $\cos 303^{\circ}$ is and $\tan 303^{\circ}$ is $\csc 303^{\circ}$ is $\sec 303^{\circ}$ is and $\cot 303^{\circ}$ is

Solution

Step 1 :An angle of 303 degrees lies in the fourth quadrant. In the fourth quadrant, cosine and secant are positive, while sine, cosecant, tangent, and cotangent are negative.

Step 2 :The signs of the six trigonometric function values for the angle $303^{\circ}$ are as follows:

Step 3 :\(\sin 303^{\circ}\) is \(\boxed{\text{negative}}\), \(\cos 303^{\circ}\) is \(\boxed{\text{positive}}\), \(\tan 303^{\circ}\) is \(\boxed{\text{negative}}\)

Step 4 :\(\csc 303^{\circ}\) is \(\boxed{\text{negative}}\), \(\sec 303^{\circ}\) is \(\boxed{\text{positive}}\), \(\cot 303^{\circ}\) is \(\boxed{\text{negative}}\)

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Source: https://solvelyapp.com/problems/19445/

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