Maths problem...
#1
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Maths problem...
sin A = 5 / 13 and cos B = 4 /5
Hence find the value of tan (A-B), strictly in fractional form as above, where
tan(A-B) = tan A - tan B / 1 + tan A and B
For a friend so [manuel on] I Know nothing [/manuel off]
Hence find the value of tan (A-B), strictly in fractional form as above, where
tan(A-B) = tan A - tan B / 1 + tan A and B
For a friend so [manuel on] I Know nothing [/manuel off]
#3
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I'll start you off. It makes it easy if you imagine the fractions are the sides of a triangle:
1) Sin A = opposite / hypotenuse = 5 / 13
the other remaining side (Adjacent) must be sqrt(13^2 - 5^2) = 12 (using pythagorus)
therefore Tan A = Opposite / Adjacent = 5/12
2) Cos B = Adjacent / Hypotenuse = 4 / 5
Opposite must be 3 (classic 3,4,5 triangle)
so tan B = 3/4
Now stick them into your formula for tan(a-b)
1) Sin A = opposite / hypotenuse = 5 / 13
the other remaining side (Adjacent) must be sqrt(13^2 - 5^2) = 12 (using pythagorus)
therefore Tan A = Opposite / Adjacent = 5/12
2) Cos B = Adjacent / Hypotenuse = 4 / 5
Opposite must be 3 (classic 3,4,5 triangle)
so tan B = 3/4
Now stick them into your formula for tan(a-b)
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