Math, asked by taniya707, 10 months ago

cosecA+cotA=2, then cosecA=?

sivaprasath: cosec A = 5/4

taniya707: how??

taniya707: explain please.

brunoconti: resend for a full solution

brunoconti: resend

sivaprasath: doing

taniya707: cosecA+cotA=2, then cosecA=?

Answers

Answered by sivaprasath

Answer:

⇒ cosec A = $\frac{5}{4}$

Step-by-step explanation:

Given :

cosec A + cot A = 2

Find cosec A

Solution :

cosec A + cot A = 2 ..(i)

We know that,

cosec² A - cot² A = 1

a² - b² = (a + b)(a - b)

⇒ (cosec A + cot A)(cosec A - cot A) = 1

⇒ cosec A - cot A = $\frac{1}{cosecA+cotA} = \frac{1}{2}$

⇒ cosec A - cot A = $\frac{1}{2}$ ...(ii)

By adding (i) & (ii)

⇒ (cosec A + cot A) + (cosec A - cot A) = $2 + \frac{1}{2}$

⇒ 2 cosec A = $\frac{4 + 1}{2} = \frac{5}{2}$

⇒ cosec A = $\frac{5}{4}$

sivaprasath: what ?

Dontaskmyname: how did you wrote the fractions like that.

sivaprasath: click on that π symbol

sivaprasath: then, use that latex

taniya707: where is that symbol??

sivaprasath: bottom of the answer box

sivaprasath: @ bottom of the answer box

taniya707: is answer box and comments box same??

sivaprasath: oh, man,. NO,. When you type answers,. you'll see that (B)Bold button,.there it is

taniya707: okay

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