Find a positive angle of less than one revolution that is coterminal with the following angle:
$\frac{19 π}{4}$

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Solution

Given angle is $\frac{19 π}{4}$
one revolution means $2 π$
If we minus it from given angle , we get $\frac{19 π}{4} - 2 π = \frac{11 π}{4} > 2 π$
Since it is greater than $2 π$ , again minus it from given angle , we get $\frac{11 π}{4} - 2 π = \frac{3 π}{4} < 2 π$

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Similar questions

Q. Find a positive angle of less than one revolution that is coterminal with the following angles:

400^{o}

Match the following:

(i) Straight angle (a) Less than one-fourth of a revolution

(ii) Right angle (b) More than half a revolution

(iii) Acute angle (c) Half of a revolution

(iv) Obtuse angle (d) One-fourth of a revolution

(v) Reflex angle (e) Between of a revolution

(f) One complete revolution

Question 1

Match the following:

(i) Straight angle (a) less than one-fourth a revolution
(ii) Right angle (b) more than half a revolution
(iii) Acute angle (c) half of a revolution
(iv) Obtuse angle (d) one-fourth a revolution
(v) Reflex angle (e) between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution
(f) One complete revolution

Q. In a triangle

A B C

, the measure of angle

A

40^{o}

less than the measure of angle

B

and

50^{o}

less than that of angle

C

. Find the measure of

∠ A

Q. In a triangle one angle is 70 and other angle is such that one is less than the measure by 20 than other

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Find a positive angle of less than one revolution that is coterminal with the following angle:19π4

Given angle is 19π4one revolution means 2πIf we minus it from given angle , we get 19π4−2π=11π4>2πSince it is greater than 2π , again minus it from given angle , we get 11π4−2π=3π4<2π

Find a positive angle of less than one revolution that is coterminal with the following angle:
$\frac{19 π}{4}$

Given angle is $\frac{19 π}{4}$
one revolution means $2 π$
If we minus it from given angle , we get $\frac{19 π}{4} - 2 π = \frac{11 π}{4} > 2 π$
Since it is greater than $2 π$ , again minus it from given angle , we get $\frac{11 π}{4} - 2 π = \frac{3 π}{4} < 2 π$