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Consider the following statements:

I. The trigonometric ratio can be measured by measuring the angles in circular system but not in centesimal system and sexagesimal system

II. The trigonometric ratio can be measured by measuring the angles in circular system and centesimal system but not in sexagesimal system


1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2

1 Answer

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Best answer
Correct Answer - Option 4 : Neither 1 nor 2

Given:

Concept Used:

Basic concept of trigonometric ratio and identities

Calculation:

The trigonometric ratio can be measured by measuring the angles in all the system given below

In sexagesimal system, we have 1 right angle = 90°

∴ 1° = 60'

 And 1' = 60"

In centasimal system, we have 1 right angle = 100g

∴ 1g = 100'

And 1' = 100"

In circular system, the unit of measurement is radian. Radian one radian is the measure of an angle Subtended at the center of a circle by an arc of length equal to the radius of the circle.

∴ Both statements are incorrect

Hence, option (4) is correct

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