trigonometry: graphs of trig functionsย ยท variations of sine and cosine ๐ 2 ๐ 3๐ 2 2๐ 1...
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Trigonometry:Graphs of Trig Functions
Honors Precalculus
Mr. Velazquez
The Graph of y = sin ๐ฅ
The Graph of y = cos ๐ฅ
The Graphs of Sine and Cosine
Variations of Sine and Cosine
๐ฆ = ๐ด sin๐ต๐ฅ ๐ฆ = ๐ด cos๐ต๐ฅ
The graph of ๐ฆ has an amplitude of |๐จ| and a period of ๐๐
๐.
๐ฆ = 2 sin ๐ฅ
๐ฆ = sin ๐ฅ
๐ฆ = เต1 2 sin ๐ฅ
๐ฆ = sin ๐ฅ๐ฆ = sin ๐ฅ
๐ฆ = โ2sin ๐ฅ
Variations of Sine and Cosine
Variations of Sine and Cosine
Variations of Sine and Cosine
Variations of Sine and Cosine
๐ฅ
๐ฆ
๐
2๐ 3๐
22๐
1
โ1
For the next examples, we will be making use of the coordinate system to the right (note the labels on the axes). Copy this graph and follow along with me.
Variations of Sine and Cosine
๐ฅ
๐ฆ
๐
2๐ 3๐
22๐
1
โ1
Graph:
๐ฆ =1
2sin ๐ฅ
Variations of Sine and Cosine
๐ฅ
๐ฆ
๐
2๐ 3๐
22๐
Graph:
๐ฆ = cos ๐ฅ โ๐
2
Variations of Sine and Cosine
๐ฅ
๐ฆ
๐
2๐ 3๐
22๐
Graph: ๐ฆ = 3 cos 2๐ฅ
The Graph of ๐ฆ = tan ๐ฅ
The Graph of ๐ฆ = tan ๐ฅ
Variations of Tangent
Variations of Tangent
Variations of Tangent
Variations of Tangent
The Graph of ๐ฆ = cot ๐ฅ
Variations of Cotangent
Variations of Cotangent
The Graph of ๐ฆ = csc ๐ฅ
The Graph of ๐ฆ = sec ๐ฅ
Variations of Secant and Cosecant
Variations of Secant and Cosecant
The Graphs of the Trig Functions
The Graphs of the Trig Functions
Classwork & Homework
Classwork: Graphs of Sine and Cosine: On a separate sheet of paper, graph the following trig functions on the
same set of axes:
(1) ๐(๐ฅ) = 2 sin ๐ฅ โ ๐ (2) ๐ ๐ฅ = โcos 2๐ฅ (3) โ ๐ฅ =1
2tan ๐ฅ +
๐
2
Homework:Trigonometry HW 2
(MathXL)
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