Question

1. If cote + cosec e = 5, then the value of
cose is:​

Answer 1

Answer:

Step-by-step explanation:

the cote + cosec e = 5......................(2)

we know that cosec e² - cot e²= 1

now

cosec e² - cot e² = 1

(cosec e + cot e)(cosec e - cot e) = 1

5 x (cosec e - cot e) = 1

cosec e - cot e = 1/5.....................(1)

now solve 1 and 2

cosec e + cot e = 5

cosec e - cot e = 1/5

(-)

2 x cosec e  = 5 -1/5

2cosec e = 25 - 1 /5

2 cosec e = 24/5

cosec e = 12/5

sin e = 5/12 (cosec e = 1/sin e)

now sub cosec e in(2)

cosec e +cot e =5

cote = 5 - cosec e

cot e = 5 -12/5

cot e = 25 - 12/5

cote= 13/5

now cote = cose / sine = 13/5

cos e = 13/ 5 x sine

cos e = 13/5 x 5/12

cos e = 13/12