Using Trigonometric Identities In Exercises 43-52, use trigonometric identities to transform the left side of the equation into the right side 0 < θ < π / 2 . sin θ cos θ + cos θ sin θ = csc θ sec θ
Using Trigonometric Identities In Exercises 43-52, use trigonometric identities to transform the left side of the equation into the right side 0 < θ < π / 2 . sin θ cos θ + cos θ sin θ = csc θ sec θ
Solution Summary: The author explains how to prove the trigonometric equation, mathrmsintheta.
Using Trigonometric Identities In Exercises 43-52, use trigonometric identities to transform the left side of the equation into the right side
0
<
θ
<
π
/
2
.
sin
θ
cos
θ
+
cos
θ
sin
θ
=
csc
θ
sec
θ
Equations that give the relation between different trigonometric functions and are true for any value of the variable for the domain. There are six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
32
SOUCAHTOA
Rom
Coso-Adj
opponite
1270
H
X
Hyp
Tant=OPP
Adj
20 #
Zom
Adjacent
CoS2E 20 XHX Tanz 20
20
K
-0.0445503261 -1.764201788
0-044550326 60044550320
(1 mark) 3960
8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
이
(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
3+
12
7/18
(2/20
2105
SSS
20
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