Question

ᴡʜᴀᴛꜱ ᴛʜᴇ ᴀɴꜱᴡᴇʀ ᴛᴏ ᴛʜɪꜱ​

Answer 1

Answer:29 sec t - 20 tan t = 21

29 - 20 sin t = 21 cos t

29 - 20 (2 tan t/2  / 1 + tan sq t/2) = 21     ( 1- tan sq t/2   / 1 + tan sq t/2)

let tan t/2 = P

29 (1 + P sq)  - 40 P = 21 ( 1 - P sq)

50 P sq - 40 P + 8 = 0

25 P sq - 20 P + 4 = 0

25 P sq - 10 P - 10 P + 4

5P ( 5P - 2) -2(5P -2)

(5p - 2)^2 = 0 hence P = 2/5

tan t/2 = 2/5

tan t = 2 (2/5)  / 1 - (2/5) ^2

1/5 //  21/25

5/21

tan t = 5/21

cosec t = Rooot 21 sq + 5 sq

divided by 5

441+ 25/5

466/5

is tthe ans

Step-by-step explanation: