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if sec theta plus tan theta =2/3, find the value of sin theta

if sec theta plus tan theta =2/3, find the value of sin theta

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Grade:11

2 Answers

Arun
25750 Points
5 years ago
 
Dear student
 
sec x – tan x = 1/ ( sec x + tanx) = 3/2
 
Now add both the equations- 
 
2 sec x = 3/2 + 2/3 = 13 /6
 
sec x = 13/12
 
cos x = 12/13
 
hence
 
sin x = 5/13
Narendra Beniwal
34 Points
5 years ago
Secx + tanx = 2/3   ------1
Sec2x - tan2x = 1 
(Secx - tanx) (secx + tanx) = 1
Secx - tanx = 3/2    -------2
Adding 1 and 2 we get, 
Secx = 13/12 => cosx = 12/13
Subtracting 2 from 1 we get, 
Tanx = -5/12 =>sinx/cosx = -5/12 =>sinx = -5/13
 
 

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