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Since, we know the trigonometric identity,
cosec² x - cot² x = 1
Similarly,
cosec² A - cot² A = 1
⇒ ( cosec A + cot A ) (cosec A - cot A) = 1 ( Since, a² - b² = (a+b)(a-b) )
We have given,
cosecA + cotA=4/3
(cosecx + cotx) × 4/3 = 1
cosecA + cotA = 3/4
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Answers & Comments
Since, we know the trigonometric identity,
cosec² x - cot² x = 1
Similarly,
cosec² A - cot² A = 1
⇒ ( cosec A + cot A ) (cosec A - cot A) = 1 ( Since, a² - b² = (a+b)(a-b) )
We have given,
cosecA + cotA=4/3
(cosecx + cotx) × 4/3 = 1
cosecA + cotA = 3/4
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