Mathematics

Question

Determine the sign of cos pi divided by seven

1 Answer

  • Answer:

    As π/7 is in first quadrant and all trig functions are positive there,

    so, cos pi/7 is positive.

    Step-by-step explanation:

    1. In 1st quadrant, all trigonometric functions are positive. Measure of Angle Ф is from 0 to π/2, and measure of reference angle is Ф.
    2. In 2nd quadrant, sinФ and cosecФ are positive. Measure of Angle Ф is from π/2 to π, and measure of reference angle is π - Ф.
    3. In 3rd quadrant, tanФ and cotФ are positive. Measure of Angle Ф is from π to 3π/2, and measure of reference angle is Ф - π.
    4. In 4th quadrant, cosФ and secФ are positive. Measure of Angle Ф is from 3π/2 to 2π, and measure of reference angle is 2π - Ф.

    Please check the attached figure a.

    As π/7 is in first quadrant and all trig functions are positive there,

    so, cos pi/7 is positive.

    Keywords: trigonometric function, cos π

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