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Step-by-step explanation:
here is ur required answer!!!!✌
Attachments:
Answered by
1
Step-by-step explanation:
Given, Angle N = tetha and angle M = 90°.
LN = 25unit and MN = 24.
PROVE THAT = sin^2tetha + cos^2tetha = 1.
TP PROOF:-
Now in ∆LMN, By Pythagoras theorem,,
LM^2 + MN^2 = LN^2.
; LM^2 + (24)^2 = (25)^2.
; LM^2 + 576 = 625.
; LM^2 = 625 - 576.
; LM^2 = 49.
; LM = +7 or -7 unit.
but a side never be a negative so,, we take 7unit in the length LM.
LETS TAKE FROM LHS,,
SIN^2TETHA + COS^2
; (PERPENDICULAR/HYPOTENUSE)^2 + (BASE/HYPOTENUSE)^2.
; (7/25)^2 + (24/25)^2
; (49/625) + (576/625)
NOW, BY DOING LCM THE FRACTION WE GET,,
; (49 + 576/625)
; (625/625)
; 1.. = RHS (HENCE PROVED)..
HOPE IT WILL BE HELPFUL!!!...
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