Download Math B Homework 3

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Math B Homework 3
M$6
If y = cos A(sec A ! cos A), then y =
2
2
1. (1) cos A
(2) cos A ! sin A
(3) sin A
(4) cot A ! 1
The expression sec x ! sin x tan x is
equivalent to
6.
(1) csc x
(3) sin x
(2) sec x
(4) cos x
1.
2.
5
2. If !A is obtuse and sin A = 3 , what is the
exact value of cos A?
Express as single trigonometric function:
7. (1 ! cos x)(1 + cos x)
sin x
3.
4.
If csc x ! "1, then
cot 2 x
is equivalent
1 + csc x
3. to
(1) 1 " csc x
(2) csc x " 1
(3) " csc x
(4) csc x " cot x
sec x ! cos x
as a single
tan x
4. trigonometric function for all values
Express
!
has the same
3
terminal side as an angle whose measure is
8.
2!
!
(1)
(3) "
3
3
5!
5!
(2)
(4) "
3
3
An angle whose measure is
9. If cos! = "
2
and sin ! < 0, find tan ! .
3
5.
6.
7.
of x for which the fraction is defined.
8.
If secx ! 1, then
tan 2 x
is equivalent
1 " sec x
5. to
(1) 1 + sec x
(2) sec x " 1
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(3) " 1 " sec x
(4) " sec x
If ! is the measure of an acute angle and
cos! = sin 60º , then cos! equals
10. (1) 30º
(2) 60º
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3
(3)
2
1
(4)
2
9.
10.
Created by J. Shahom (July 2005)
11.
2
and sin ! is negative, then
5
find the exact value of cos! .
If tan ! =
16.
Express in degree measure an
2!
angle of
radians.
5
11.
12.
If cos x ! ±1, then
12. equivalent to
(1) tan 2 x
(2) sec 2 x
cos x
cos x
#
is
1 " cos x 1 + cos x
(3) cot 2 x
(4) sec x # csc x
If sin A = b, then the value of
sin A ! cos A ! tan A is equal to
17. (1) 1
(3) b
1
(2)
(4) b 2
b
13.
14.
Express sin 2 ! (1 + tan 2 ! ) as a single
13. trigonometric function for all values
of ! for which the expression is defined.
# "&
The expression csc % ! ( is equivalent to
$ 2'
"
18. (1) 2 cos
3
(2) tan "
5
(3) 2 sin "
6
(4) cos "
15.
16.
14.
Solve the equation 2(x ! 3) = !
5
and
x
19. Solve for x: 49 x = 7 x +1
17.
express its roots in terms of i.
18.
a
, express log x in terms of
15.
b
log a and log b.
If x =
20. Solve for n: log n 4 =
1
2
19.
20.
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Created by J. Shahom (July 2005)