Lesson 8 Are Relationships Predictable? Develop Understanding

Ready

Find the missing side, $n$ , and the missing angle, $a$ .

1.

2.

3.

4.

5.

6.

Set

Write the indicated trigonometric ratios. If any sides of the triangle are missing, find them before determining the ratio.

7.

$\cos (A) =$ , $\cos (B) =$

$\sin (A) =$ , $\sin (B) =$

$\tan (A) =$ , $\tan (B) =$

8.

$\cos (A) =$ , $\cos (B) =$

$\sin (A) =$ , $\sin (B) =$

$\tan (A) =$ , $\tan (B) =$

9.

$\cos (A) =$ , $\cos (B) =$

$\sin (A) =$ , $\sin (B) =$

$\tan (A) =$ , $\tan (B) =$

10.

$\cos (A) =$ , $\cos (B) =$

$\sin (A) =$ , $\sin (B) =$

$\tan (A) =$ , $\tan (B) =$

Go

In each case, find the factored form and intercepts.

11.

$f (x) = x^{2} + 9 x + 20$

factored form:

$x$ -intercepts:

$y$ -intercept:

12.

$g (x) = x^{2} + 2 x - 15$

factored form:

$x$ -intercepts:

$y$ -intercept:

13.

$h (x) = x^{2} - 49$

factored form:

$x$ -intercepts:

$y$ -intercept:

14.

$r (x) = x^{2} - 13 x + 30$

factored form:

$x$ -intercepts:

$y$ -intercept:

15.

$f (x) = x^{2} + 20 x + 100$

factored form:

$x$ -intercepts:

$y$ -intercept:

16.

$g (x) = x^{2} - 8 x - 48$

factored form:

$x$ -intercepts:

$y$ -intercept:

17.

$h (x) = x^{2} + 16 x + 64$

factored form:

$x$ -intercepts:

$y$ -intercept:

18.

$k (x) = x^{2} - 36$

factored form:

$x$ -intercepts:

$y$ -intercept:

19.

$p (x) = x^{2} - 2 x - 24$

factored form:

$x$ -intercepts:

$y$ -intercept: