Question -
Answer -
We know that 180° = π rad ⇒ 1° = π/ 180 rad
(i) 300°
(300 × π/180) rad
5π/3
∴Radian measure of 300o is 5π/3
(ii) 35°
(35 × π/180) rad
7π/36
∴Radian measure of 35o is 7π/36
(iii) -56°
(-56 × π/180) rad
-14π/45
∴Radian measure of -56° is -14π/45
(iv) 135°
(135 × π/180) rad
3π/4
∴Radian measure of 135° is 3π/4
(v) -300°
(-300 × π/180) rad
-5π/3
∴Radian measure of -300° is -5π/3
(vi) 7° 30′
We know that, 30′ =(1/2) °
7° 30′ = (7 1/2) °
= (15/2) o
= (15/2 × π/180) rad
= π/24
∴Radian measure of 7° 30′ is π/24
(vii) 125° 30′
We know that, 30′ =(1/2) °
125° 30’ = (125 1/2)°
= (251/2) o
= (251/2 × π/180)rad
= 251π/360
∴Radian measure of 125° 30′ is 251π/360
(viii) -47° 30′
We know that, 30′ =(1/2) °
-47° 30’ = – (471/2) °
= – (95/2) o
= – (95/2 × π/180)rad
= – 19π/72
∴Radian measure of -47° 30′ is – 19π/72