In triangle abc angle a +angle b =90 then sin a =

Step-by-step explanation:

we know that

In the triangle abc

if

then

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

so

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

so

therefore

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

so

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -