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Consider any triangle ABC, and let AD be the altitude from A on to BC.
Then sin(B) = AD/AB so that AD = AB*sin(B)
and sin(C) = AD/AC so that AD = AC*sin(C)
Therefore AB*sin(B) = AC*sin(C)
or c*sin(B) = b*sin(C) where the lower case letter represents the side opposite the angle with the upper case name.
Divide both sides by bc to give sin(B)/b = sin(C)/c.
Similarly, using the altitude from B you can show that sin(A)/a = sin(C)/c.
Combining with the previous result,
sin(A)/a = sin(B)/b = sin(C)/c.
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Is sine law applicable in acute triangle?
Yes
What property allows you break a multiplication problem into partial problems?
The sine law.
Can the sine law be usd in a right triangle?
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
How does euler's formula work?
It can be derived from the series expansion for the sine, the cosine, and the exponential function. More details here: http://en.wikipedia.org/wiki/Euler's_formula#Using_power_series
When would you use the law of sines or law of cosines instead of a trigonometric ratio?
Trigonometric ratios, by themselves, can only be used for right angled triangles. The law of cosines or the sine law can be used for any triangle.
What is snell's law for angles and velocities and wavelengths?
The Sine of incidents ---------------------------- The sine of refraction
How are laws derived from case law?
"Laws" are not derived from "case law" - DECISIONS are derived from case law.
What country does the surname 'Sine' come from?
The surname Sine originally comes from Scotland. It is derived from the Old English name Swein, which was used in medieval Britain.
Damnum sine injuria?
What is Damnum sine injuria means in the Law of Torts? Give anexample of it in details.
The law is derived from three main sources what are they?
Law is derived from Common Law, Statutory Law, and Administrativel Law.
Can the sine law be used with a acute triangle?
Yes.
Is sine law applicable in acute triangle?
Yes
How could newton's third law of motion can be derived from second law?
I don't think it can be derived.
Do light ways always bent to the normal when changing mediums?
No. Light follows the law of sines, Sine( I)/vi = Sine( T)/vt
What property allows you break a multiplication problem into partial problems?
The sine law.
Can the sine law be usd in a right triangle?
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
What are the formulas for law of sines and law of cosines?
sine: sin(A) sin(B) sin(C) cosines: a2=b2+c2-2bc cos(A).........----- = ----- = ------........,,,.a .......b........ ca is side BC A is angle A sin(A) means sine of angle Apsst, theres a law of tangents too, but its so complicated that im not gonna post it hereLaw of sine -A B C------ = ------ = ------Sin(a) Sin(b) Sin(c)
