Grade 11Trigonometry
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
2 Answers
Arun
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
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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