Prove the following identity
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This is the answer for the given question. ..
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Solution==>>
tan A=4/3
we know that tan = perpendicular/base
(P/B)
so, 4/3=P/B
By Pythagoras Theorem
We know that H²=P²+B²
H=Hypotenuse
B=Base
P=Perpendicular
by substituting the values
H²=(4)²+(3)²
H²=16+9
H²=25
H=√25
H=5
now, we have all values H=5, B=3 and P=4
sinA=P/H=4/5
cosA=B/H=3/5
so, sinA+cosA=
4/5 + 3/5
4+3/5
7/5 ....(Hence,Proved)
Answer...
tan A=4/3
we know that tan = perpendicular/base
(P/B)
so, 4/3=P/B
By Pythagoras Theorem
We know that H²=P²+B²
H=Hypotenuse
B=Base
P=Perpendicular
by substituting the values
H²=(4)²+(3)²
H²=16+9
H²=25
H=√25
H=5
now, we have all values H=5, B=3 and P=4
sinA=P/H=4/5
cosA=B/H=3/5
so, sinA+cosA=
4/5 + 3/5
4+3/5
7/5 ....(Hence,Proved)
Answer...
harjotsinghbhinder13:
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