Find the value of the given expression when a = 0, b = 2,
the given expression when a = 0. b = 2. c = 4.x = 5 and y=-1.
(2) 8x2 - 11xy + 7y2
(b) a + 2b? - ab (c) 9a? - 11bc + 640 - 141abc
12
64,
149,
(e) 77 ab + 761bc + 9381
1087
-abc
27
Q3.
Solve the following:
(a) (a + b)(a - b) (a? + b2) (a* + b^)
(c) (3x + 7) (3x - 7) (9x2 + 49)
(b) (x* - y) (x4 + y) (x + y") (x + y)
(d) (p + q) (p - q) (p+ q?) (p + q*) (p
+ 9)
Quy (24fx + 6 = 7, find x +
(e) If x= = = 13, findx +
(b) Ifx + $ = 11, find x +
(0)1fx- * = 9, find * * *
Answers
Answer:
Step-by-step explanation:
Take an x-axis and an y-axis (orthonormal) and let O be the origin. A circle centered in O and with radius = 1 is known as trigonometric circle or unit circle.
unit circle
If P is a point from the circle and A is the angle between PO and x axis then:
the x-coordinate of P is called the cosine of A. We write cos(A) or cos A;
the y-coordinate of P is called the sine of A. We write sin(A) or sin A;
the number sin(A)/cos(A) is called the tangent of A. We write tan(A) or tan A;
the number cos(A)/sin(A) is called the cotangent of A. We write cot(A) or cot A.
The sine function
sin : R -> R
All trigonometric functions are periodic. The period of sin is 2\displaystyle \piπ.
The range of the function is [-1,1].
sin graph
The cosine function
cos : R -> R
The period of sin is 2\displaystyle \piπ.
The range of the function is [-1,1].
cos graph
The tangent function
tan : R -> R
The range of the function is R. Now, the period is \displaystyle \piπ and the function is undefined at x = (\displaystyle \piπ/2) + k\displaystyle \piπ, k=0,1,2,...
The graph of the tangent function on the interval 0 - \displaystyle \piπ
tan graph
Animated graph(open in a new window):
The graph of the tangent function on the interval 0 - 2\displaystyle \piπ
The cotangent function
cot : R -> R
The range of the function is R. The period is \displaystyle \piπ and that the function is undefined at x = k\displaystyle \piπ, k=0,1,2,...
cot graph
The values of sin, cos, tan, cot at the angles of 0°, 30°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, 360°
\displaystyle A^oA
o
\displaystyle 0^o0
o
\displaystyle 30^o30
o
\displaystyle 45^o45
Here is your answer user.
