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प्रश्न
Evaluate without using a trigonometric table:
`(3 sin 32°)/(cos 58°) + (4 tan 46°)/(cot 44°) − (5 sec 62°)/("cosec" 28°)`
बेरीज
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उत्तर
Use co-function identities:
cos 58° = sin 32°
= `(3 sin 32°)/(cos 58°) = 3`
cot 44° = tan(90° − 44°) = tan 46°
= `(4 tan 46°)/(cot 44°) = 4`
sec 62° = `1/(cos 62°) = 1/(sin 28°) = "cosec" 28°`
= `(5 sec 62°)/("cosec" 28°)` = 5
= 3 + 4 − 5 ...[expression equals]
= 2
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