Determine the sign of cos pi divided by seven
Mathematics
iaindimech
Question
Determine the sign of cos pi divided by seven
1 Answer

1. User Answers SaniShahbaz
Answer:
As π/7 is in first quadrant and all trig functions are positive there,
so, cos pi/7 is positive.
Stepbystep explanation:
 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.
 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.
 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.
 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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