Question

Question 2 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

Class X1 - Maths -Trigonometric Functions Page 55

Answer 1

Concept :- use the reaction here , D/180° = C/π
Where D = angle in degree
C = angle in radian.

(i)C = 11/16
D= ?
D/180° = (11/16)/π
D = 180×11/16π°
= (180×11×7/16×22)°
= (315/7)°
= 39° + (3/8)°
= 39° + {(3/8)×60}' [ 1°=60']
= 39°+ (45/2)'
=39° + 22' + (1/2)'
= 39°22' + (60/2)" [ 1' = 60"]
= 39°22'30"

(ii) C = -4
D = ?
D = -(4×180/π)°
= -(720×7/22)°
= -(2520/11)°
= -(229°+ 1/11×60')
=-{229° + 5' + (5/11)×60"}
=-229°5'27" ( approximately)

(iii) C = 5π/3
D = ?
D = (5π/3)×180°/π
= 300°

(iv) C = 7π/6
D = ?
D = (7π/6)×180°/π
= 180×7/6°
= 210°

Answer 2

Answer:

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