NCERT Class XI Mathematics - Trigonometric Functions - Solutions
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Question : 1
Total: 61
Find the radian measures corresponding to the following degree measures :
(i) 25°
(ii) –47°30’
(iii) 240°
(iv) 520°
(i) 25°
(ii) –47°30’
(iii) 240°
(iv) 520°
Solution:
We have, 180° = π Radians
∴ 1° =(
) radians
(i) 25° =(
× 25 ) radians =
radians
(ii) As we know, 30' =(
) ° = (
) °
∴ - 47° 30' = -( 47
) ° = - (
) °
⇒ -(
) ° = - (
×
) radians =
radians
(iii) 240° =(
× 240 ) radians =
radians
(iv) 520° =(
× 520 ) radians =
radians
∴ 1° =
(i) 25° =
(ii) As we know, 30' =
∴ - 47° 30' = -
⇒ -
(iii) 240° =
(iv) 520° =
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