Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.
2 answers:
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Answer:
Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>
since they are coincident points
By order pair we obtain:
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:
now substitute:
distribute:
collect like terms:
rearrange:
by <em>Pythagorean</em><em> theorem</em> we obtain:
cancel 4 from both sides:
move right hand side expression to left hand side and change its sign:
factor out sin:
factor out 2:
group:
factor out -1:
divide both sides by -1:
by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
divide both sides by 2:
by unit circle we get:
so when θ is 60° a is:
recall unit circle:
simplify which yields:
when θ is 300°
remember unit circle:
simplify which yields:
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
