1.2. Carefully study the activity below and answer the questions that follow. In the following activity you are expected to work in groups of five. Reduction formulae for function values of (180°t0) Function values of (180°-0) In the figure P(V3; 1) and P' lie on the circle with radius 2. OP makes an angle 0-30° with the x-axis. If points P and P'are symmetrical about the y-axis, determine the coordinates of P'. Write down values for sine, cose and tane. Use the coordinates for P' to determine sin(180-0), cos(180-0), tan(180-0). From your results determine a relationship between the trigonometric function values of (180"-0) and 0. Function values of (180°+0) In the figure P (V3;1) and P' lie on the circle with radius 2. OP makes an angle 0-30" with the x-axis. Consider the diagram below; If points P and P' are symmetrical about the origin (the two points are symmetrical about both the x-axis and the y-axis), determine the coordinates of P'. Use the coordinates for P' to determine sin(180 +0), cos(180 +0) and tan(180 +0). From your results determine a relationship between the trigonometric function values of (180+0) and 0. 180 a. Complete the following reduction formulae: 1.2.1. sin(180"-0)-.. 1.2.2. cos(180"-0)..... 1.2.3. tan(180-0)-...... 1.2.4. sin(180 +0)-.. 1.2.5. cos(180"+0).. 1.2.6. tan(180 +0)-...
1.2. Carefully study the activity below and answer the questions that follow. In the following activity you are expected to work in groups of five. Reduction formulae for function values of (180°t0) Function values of (180°-0) In the figure P(V3; 1) and P' lie on the circle with radius 2. OP makes an angle 0-30° with the x-axis. If points P and P'are symmetrical about the y-axis, determine the coordinates of P'. Write down values for sine, cose and tane. Use the coordinates for P' to determine sin(180-0), cos(180-0), tan(180-0). From your results determine a relationship between the trigonometric function values of (180"-0) and 0. Function values of (180°+0) In the figure P (V3;1) and P' lie on the circle with radius 2. OP makes an angle 0-30" with the x-axis. Consider the diagram below; If points P and P' are symmetrical about the origin (the two points are symmetrical about both the x-axis and the y-axis), determine the coordinates of P'. Use the coordinates for P' to determine sin(180 +0), cos(180 +0) and tan(180 +0). From your results determine a relationship between the trigonometric function values of (180+0) and 0. 180 a. Complete the following reduction formulae: 1.2.1. sin(180"-0)-.. 1.2.2. cos(180"-0)..... 1.2.3. tan(180-0)-...... 1.2.4. sin(180 +0)-.. 1.2.5. cos(180"+0).. 1.2.6. tan(180 +0)-...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 53RE
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The Following question it's related to the Screenshot which is attached
1.2.2. What is the role of the teacher in this type of instruction?
Transcribed Image Text:1.2.
Carefully study the activity below and answer the questions that follow.
In the following activity you are expected to work in groups of five.
Reduction formulae for function values of (180°t0)
Function values of (180°-0)
In the figure P(v3; 1) and P' lie on the circle with radius 2. OP makes an angle 0=30°
with the x-axis.
points P and P' are symmetrical about the y-axis, determine the coordinates of P'
Write down values for sine, cose and tane.
Use the coordinates for P' to determine sin(180°-0), cos(180°-0), tan(180°-0).
From your results determine a relationship between the trigonometric function values
of (180°-0) and e
Function values of (180°+0)
In the figure P (V3;1) and P' lie on the circle with radius 2. OP makes an angle 0=30°
with the x-axis. Consider the diagram below;
If points P and P' are symmetrical about the origin (the two points are symmetrical about
both the x-axis and the y-axis), determine the coordinates of P'.
Use the coordinates for P' to determine sin(180*+0), cos(180°+0)
and tan(180°+0).
From your results deter
relationship between the trigonometric funct
values of (180°+0) and 0.
1s0+
a.
Complete the following reduction formulae:
1.2.1. sin(180-0)-..
1.2.2. cos(180°-0)...
1.2.3. tan(180°-0)=...
1.2.4. sin(180 +0)=...
1.2.5. cos(180"+0)..
1.2.6. tan(180°+0)=..
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