Question

1/coseC- 1/sec =7/13 the value of 1/casecC+1/secC

Answer 1

1/coseC- 1/sec =7/13 the value of 1/casecC+1/secC

1/coseC- 1/sec =7/13

Sinc - Cosc = 7/13

squaring both sides

Sin^2c + Cos^2c -2SinCosc = 49/169

sin^2c + cos^2c = 1

2SincCosc = 1 - 49/169

2SincCosc = 120/169

adding 1 both sides

1 + 2sincCosc = 1 + 120/169

Sin^2c + Cos^2c + 2SincCosc = 289/169

(Sinc + Cosc)^2 = (17/13)^2

Sinc + Cosc = +/- 17/13

1/cosecc + 1/Secc = +/- 17/13