InterviewSolution
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InterviewSolution
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Find the radian measure corresponding to the following degree measures:(i) 300° (ii) 35° (iii) -56° (iv)135° (v) -300°(vi) 7° 30′ (vii) 125° 30’ (viii) -47° 30′ |
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Answer» As we know that 180° = π rad ⇒ 1° = π/ 180 rad (i) 300° (300 × π/180) rad 5π/3 (ii) 35° (35 × π/180) rad 7π/36 ∴ Radian measure of 35° 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′ As we know that, 30′ = (1/2)° 7° 30′ = (7 1/2)° = (15/2)° = (15/2 × π/180) rad = π/24 ∴ Radian measure of 7° 30′ is π/24 (vii) 125° 30′ As we know that, 30′ = (1/2)° 125° 30’ = (125 1/2)° = (251/2)° = (251/2 × π/180) rad = 251π/360 ∴ Radian measure of 125° 30′ is 251π/360 (viii) -47° 30′ As we know that, 30′ = (1/2)° -47° 30’ = – (47 1/2)° = – (95/2)° = – (95/2 × π/180) rad = – 19π/72 Thus, radian measure of -47° 30′ is – 19π/72 |
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