The value of 9sec2A-9tan2A
Answers
Answer:
o
Step-by-step explanation:
o+0+9sec
Answer:
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
o
\displaystyle 60^o60
o
\displaystyle 90^o90
o
\displaystyle 120^o120
o
\displaystyle 135^o135