graphs and undefined expressions, algebra homework help

graphs and undefined expressions

4. Which of the following is a trigonometric identity? (1 point)
sine tane = tane + sin e
sec? 9-1
= cose
seca
R
S
E
cose-sin-e = 1 – 2sin e
sin e = cose – 1
mm –
5. Simplify the trigonometric expression. (1 point)
1
1
+
1+sin 8
1-sin e
2cos e
2 sec
O Zesc²e
2cote
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@
cosa
cot @
tan 8
3. Which identity is not used in the proof of the identity 1 + cot2 e = csc2e? (1 point)
1 + cot2 = CSC2
A
1 + cosa 9 = CSC2
G
2
sino
sina + cosa q=cscz
sino sinº e
e
Sin
na 9+cosa 9 = csc2
sina
1
=c5c2a
sinº a
Thumu
csc2e = csc2e
cotangent identity
Pythagorean identity
reciprocal identity
tangent identity
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1. Find the exact value. If the expression is undefined, write undefined. (1 point)
csc 135º
00
undefined
1
0 0
2
Oſ
2. Evaluate sec 37 to the nearest hundredth. The angle is given in radians. (1 point)
2
1
undefined
1-1
3. What are the graphs of y= sin x and y = csc x in the interval from -2,7 to 2.7? (1 point)
4
1712
ME
19
3. What are the graphs of y=sin x and y=cscx in the interval from -21 to 27? (1 point)
y
4
2 2
o
4
2
4
2
2
-2
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4. Use the graph of y=sec x to estimate the value of sec 1650. Round to the nearest tenth. (1 point)
y
83
– 1
90.
18Q.
270
3.60.
X
|.ܚܝܕ̄
3ܚܝܕ̄
که سا
about-1
about-1.9
about 0.1
about 1
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$
#。
%
about 0.1
about 1
(1 point)
5. Suppose you are building a rain shelter for a local park. The function y= 4 csc e models the lengthy of
rafters needed if the peak is 4 feet above the top of the wall. The angle e is formed by the rafters and the
top of the wall.
y
4 ft
6
Wall
not drawn to scale
Use a graphing calculator. Find the length of the rafters needed to make the roof for a=190. Round to the
nearest tenth of a foot.
3.8 feet
1.3 feet
4.2 feet
12.3 feet
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