Describe how to use both an equivalent trigonometric identity and a diagram to demonstrate that two trigonometric ratios are equivalent. a) Use one of the following equivalent trigonometric expressions: sin (0+³) cos (0+³7) sin 0 2 tan (0 + ³7 ) 3π = -cot 0 Cos - sin = cot 0 3π sin (3-0) COS (³″ – 0) tan (30) = - = = = = cos b) Using a diagram demonstrate how the related angle formulas are true. Create an example to illustrate your findings in part a) (choose a value for and solve both sides to prove that they are equal.)
Describe how to use both an equivalent trigonometric identity and a diagram to demonstrate that two trigonometric ratios are equivalent. a) Use one of the following equivalent trigonometric expressions: sin (0+³) cos (0+³7) sin 0 2 tan (0 + ³7 ) 3π = -cot 0 Cos - sin = cot 0 3π sin (3-0) COS (³″ – 0) tan (30) = - = = = = cos b) Using a diagram demonstrate how the related angle formulas are true. Create an example to illustrate your findings in part a) (choose a value for and solve both sides to prove that they are equal.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Describe how to use both an equivalent trigonometric identity and a diagram to demonstrate that
two trigonometric ratios are equivalent.
0
a) Use one of the following equivalent trigonometric expressions:
sin (0+ ³7)
3π
2
3π
cos (0+ ³T)
2
tan (0 + ³7)
2
3π
sin ( ³7 – 0)
2
- 0)
cos (3
2
3π
tan ( ³″ – 0)
2
=
=
=
-
Cos 0
W
sin 0
- cot 0
– cos (
sin 0
cot (
b) Using a diagram demonstrate how the related angle formulas are true. Create
an example to illustrate your findings in part a) (choose a value for and solve
both sides to prove that they are equal.)
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