Name: ___________________________
Intro to BC Calc. H
Trig. HW - # 13
Date: __________________
Mrs. Scala/Mr. Modiano
Solve the following without a calculator in the given interval.
1) cos 2 x = cos x [0, 2π]
3) 2
sec x + 4 =
2) 5 csc x -
sec x + 6 [0, π]
= 4 csc x
4) tan 3 x – tan x = 0
Solve the following with a calculator in the given interval.
5) sin 2x – 4 sin x = 2
7) sec 2 x – 4 sec x + 1 = 0
6) tan 2 x + 6 tan x + 4 = 0 [0, 2π]
[0, π]
8) 4 csc2 x – 4 csc x + 7 = 0 [0, 2π]
Find each without a calculator.
9) sin – 1 (- ½) = f(- ½)
10) cos
11) tan
-1
12) csc π
(1)
Graph each without a calculator.
13) y = - 4 sin (x +

)+3
2
14) y = sec(x + π) - 1
15) Write the equation of a line with slope of – 2 and passes through (3, - 4).
16) Solve for x: 2 log x = log(x + 3) + log 2
17) Solve for x: 4x – 1 + 3 = 10
18) Write an equation, with real coefficients, whose roots are 4, - 2, and 3i.
19) Find f – 1(x) for f(x) =
x3
.
2x 1
20) Find the shortest distance from (2, - 3) to y = x + 4.
We can't help everyone, but everyone can help someone. –
21) ______________