What's the problem with using the sine law to solve for an angle in a non-right triangle if the triangle is not drawn to scale

9514 1404 393

  there are two solutions under some circumstances

Step-by-step explanation:

If the given data is two sides, and the angle opposite the shorter of them, then there will be two solutions. Which of the solutions is applicable may be resolved in the triangle is drawn to scale.

If the triangle is not drawn to scale, then there may be no way to resolve an ambiguous case.

__

If a known angle is opposite the longest side, there is no ambiguity.

2/5

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: