Question

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

Answer 1

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

Answer 2

Answer✍️✍️

Options (C)20/21 is correct✔️✍️✍️

hope it is help you✍️✍️