6. The tangent ratio is y x where (x, y) is a coordinate on the terminal side of the angle
in standard position. Use the diagram to justify why the tangent of 45° is always 1.
Then, expand that reasoning to justify why every individual angle measure nas exactly
one value for tangent. Use similar reasoning to justify why every angle has exactly one
value of sine and one value of cosine.

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Complete the solution of the equation. find the value of y when x equals to 1 9x-5y=29

Find the magnitude, correct to two decimal places, made by each of the following with positive direction of the x axis a) y= x the answer is 45° but i don’t know how