Match the identities to their values taking these conditions into consideration sinx=sqrt2 /2 cosy=-1/2 angle x is in the first quadrant and angle y is in the second quadrant. information provided in the picture.

goes with

goes with

goes with

Step-by-step explanation:

by the addition identity for cosine.

We are given:

which if we look at the unit circle we should see

.

We are also given:

which if we look the unit circle we should see

.

Apply both of these given to:

by the addition identity for cosine.

Apply both of the givens to:

by addition identity for sine.

Now I'm going to apply what 2 things we got previously to:

by quotient identity for tangent

Multiply top and bottom by bottom's conjugate.

When you multiply conjugates you just have to multiply first and last.

That is if you have something like (a-b)(a+b) then this is equal to a^2-b^2.

There is a perfect square in 12, 4.

Divide top and bottom by 4 to reduce fraction:

Distribute:

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms