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NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 2
Total: 61
Find the degree measures corresponding to the following radian measures (Use π = 22/7)
(i)
11
16
(ii) - 4
(iii)
5π
3
(iv)
7π
6
Solution:  
We have, π Radians = 180°
⇒ 1 radian = (
180
π
)°
(i)
11
16
 radians = (
11
16
×
180
π
)° = (
315
8
)° = 39° 22' 30" [Since 1° = 60']
(ii) - 4 radians = (
−4×180
π
)° = - 229° 5' 27"
(iii)
5π
3
 radians = (
5
3
×
180
π
)° = 300°
(iv)
7π
6
 radians = (
7π
6
×
180
π
)° = 210°
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