1 point9) If coseco+coto=5/2, thenthe value of tano is * A) 14/25 B) 2

1.	1 point9) If coseco+coto=5/2, thenthe value of tano is * A) 14/25 B) 21/20C) 20/21D) 15/16This is a required question
Answer» Answer: OPTION C 20/21 Step-by-step EXPLANATION: We know, cosec²A - cot²A = 1 THUS, (cosecA + cotA)(cosecA - cotA) = 1 Given, cosecA + cotA = 5/2 Hence, => (5/2) (cosecA - cotA) = 1 => cosecA - cotA = 2/5 Subtracting one from another, we get =>(cosecA+cotA)-(cosecA-cotA) =5/2 - 2/5 => cotA + cotA = (25 - 4)/10 => 2(1/tanA) = 21/10 => 20/21 = tanA

1 point9) If coseco+coto=5/2, thenthe value of tano is * A) 14/25 B) 21/20C) 20/21D) 15/16This is a required question

Answer»

Answer:

OPTION C 20/21

Step-by-step EXPLANATION:

We know, cosec²A - cot²A = 1

THUS, (cosecA + cotA)(cosecA - cotA) = 1

Given, cosecA + cotA = 5/2

Hence,

=> (5/2) (cosecA - cotA) = 1

=> cosecA - cotA = 2/5

Subtracting one from another, we get

=>(cosecA+cotA)-(cosecA-cotA) =5/2 - 2/5

=> cotA + cotA = (25 - 4)/10

=> 2(1/tanA) = 21/10

=> 20/21 = tanA

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1 point9) If coseco+coto=5/2, thenthe value of tano is * A) 14/25 B) 21/20C) 20/21D) 15/16This is a required question​

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1 point9) If coseco+coto=5/2, thenthe value of tano is * A) 14/25 B) 21/20C) 20/21D) 15/16This is a required question