find the value of sin,cos and tan
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this is the answer of question.
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Heya!!
Since, angle XMZ = 90°
In triangle XMZ ,
By pythagoras theorem,
ZX^2 = MZ^2 + MX^2
=) 20^2 = 16^2 + MX^2
=) MX^2 = 400-256
=) MX = root 144
=) MX = 12 cm
________________________
Now,
In triangle MYX
By pythagoras theorem,
XY^2 = MY^2 + MX^2
=) XY^2 = 5^2 + 12 ^2
=) XY^2 = 25 + 144
=) XY = root 169
=) XY = 13 CM
______________________
NOW,
IN TRIANGLE MYX,
Sin theta = perpendicular/hypotenuse
= MY/XY
= 5/13
Cos theta = base/ hypotenuse
= MX/XY
= 12/13
Tan theta = perpendicular/ base
= MY/MX
= 5/12
Hope it helps u.
Since, angle XMZ = 90°
In triangle XMZ ,
By pythagoras theorem,
ZX^2 = MZ^2 + MX^2
=) 20^2 = 16^2 + MX^2
=) MX^2 = 400-256
=) MX = root 144
=) MX = 12 cm
________________________
Now,
In triangle MYX
By pythagoras theorem,
XY^2 = MY^2 + MX^2
=) XY^2 = 5^2 + 12 ^2
=) XY^2 = 25 + 144
=) XY = root 169
=) XY = 13 CM
______________________
NOW,
IN TRIANGLE MYX,
Sin theta = perpendicular/hypotenuse
= MY/XY
= 5/13
Cos theta = base/ hypotenuse
= MX/XY
= 12/13
Tan theta = perpendicular/ base
= MY/MX
= 5/12
Hope it helps u.
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