Mathematics
Use tables to find sine of :
(i) 21°
(ii) 34° 42'
(iii) 47° 32'
(iv) 62° 57'
(v) 10° 20' + 20° 45'
Trigonometric Identities
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Answer
(i) From table,
sin 21° = 0.3584
Hence, sin 21° = 0.3584
(ii) From table,
sin 34° 42' = 0.5693
Hence, sin 34° 42' = 0.5693
(iii) From table,
sin 47° 30' = 0.7373
Difference of 2' = 0.0004 [To add]
∴ sin 47° 32' = 0.7373 + 0.0004 = 0.7377
Hence, sin 47° 32' = 0.7377
(iv) From table,
sin 62° 54' = 0.8902
Difference of 3' = 0.0004 [To add]
∴ sin 62° 57' = 0.8902 + 0.0004 = 0.8906
Hence, sin 62° 57' = 0.8906
(v) Adding,
10° 20' + 20° 45' = 30° 65' = 31° 5'.
[As, 60' = 1°]
From table,
sin 31° = 0.5150
Difference of 5' = 0.0012 [To add]
∴ sin 31° 5' = 0.5150 + 0.0012 = 0.5162
Hence, sin 31° 5' = 0.5162
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