Questions: Determine the signs of the given functions. tan 18°, sec 300° The sign of tan 18° is □

Transcript text: Determine the signs of the given functions. \[ \tan 18^{\circ}, \sec 300^{\circ} \] The sign of $\tan 18^{\circ}$ is $\square$

Solution

Solution Steps

Step 1: Analyze tan(18°)

An angle of 18° lies in Quadrant I. All trigonometric functions are positive in Quadrant I.

Step 2: Analyze sec(300°)

An angle of 300° lies in Quadrant IV. The cosine function is positive in Quadrant IV. Since secant is the reciprocal of cosine, secant is also positive in Quadrant IV.

Final Answer:

The sign of tan(18°) is positive. The sign of sec(300°) is positive.

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