51. If √1+sinx/√1-sinx = m, then the value of secx - tanx
equals
(1) m
(2) 1/m
(3) m²
(4) 1/m²
Answers
Answered by
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...
Similar questions
Social Sciences,
2 months ago
English,
4 months ago
Physics,
4 months ago
Biology,
10 months ago
English,
10 months ago