# Law of sines, law of cosines, vectors in the plane, vectors and dot products, trigonometric form of complex numbers

*label*Mathematics

*timer*Asked: Dec 14th, 2017

*account_balance_wallet*$20

**Question description**

Five questions: Law of sines, law of cosines, vectors in the plane, vectors and dot products, trigonometric form of complex numbers.

## Tutor Answer

here is solution; kindly speak to me if any doubt you have .

Can the Law of Sines be used to solve a right triangle? Write a short paragraph explaining

why it can or cannot be used. If it can be used, explain how to use it. Is there an easier way

to solve the triangle? Explain.

A triangle has six entities, namely three sides and three angles. If one is given one of following

combination:

(i) Two sides and an angle,

(ii) One side and two angles

One can readily get the rest of entities using Law of sines.The Law of Sines says that in any

given triangle, the ratio of any side length to the sine of its opposite angle is the same for all

three sides of the triangle. This is true for any triangle, including for right triangles.

sin( A) sin( B) sin( C )

……… (i)

a

b

c

In triangle, let angles be C 90 ; A and B 90 .

Substituting in equation (1), we have

sin( ) sin( 9...

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