in triangle ABC prove that cosec (a+c/2)=sec(b/2)
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Answer:
Step-by-step explanation:
Given,
ABC is a triangle.
To Prove :-
Formula Required :-
1) Sum of all angles in a triangle = 180°
2) cosec(90° - B/2) = sec(B/2)
Solution :-
ABC is a triangle :-
→ A + B + C = 180°
[ ∴ Sum of all angles in a triangle = 180° ]
A + C = 180° - B
[Let it be equation - 1]
Dividing equation - 1 by '2' :-
Applying 'cosec' on both sides :-
Hence Proved that L.H.S = R.H.S.
Ataraxia:
Great !! ^^"
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