Question

51. If √1+sinx/√1-sinx = m, then the value of secx - tanx
equals
(1) m
(2) 1/m
(3) m²
(4) 1/m²​

Answer 1

Answer:

1/m

Step-by-step explanation:

a/q,

√1+sin x / √1-sin x = m

√(1+sin x)(1+sin x) / √(1-sin x)(1+sin x) = m

√(1+sin x)² / √(1-sin²x) = m

1+sin x / cos x = m

1/cos x + sin x/ cos x = m

sec x + tan x = m

now,

sec²x - tan²x = 1

(sec x - tan x)(sec x + tan x) = 1

(sec x - tan x) m = 1

(sec x - tan x) = 1/m, ans...