Explain how to find the value of sin $390}^{\circ$ using periodic properties.

tricotasu
2021-08-19
Answered

Explain how to find the value of sin $390}^{\circ$ using periodic properties.

You can still ask an expert for help

hesgidiauE

Answered 2021-08-20
Author has **106** answers

Step 1

Use$\mathrm{sin}(360+\alpha )=\mathrm{sin}\alpha$

Step 2

$\mathrm{sin}390$

$=\mathrm{sin}(360+30)$

$=\mathrm{sin}30$

$=\frac{1}{2}=0.5$

Use

Step 2

asked 2021-01-17

Guided Proof Let ${v}_{1},{v}_{2},....{V}_{n}$ be a basis for a vector space V.

Prove that if a linear transformation$T:V\to V$ satisfies

$T({v}_{i})=0\text{}for\text{}i=1,2,...,n,$ then T is the zero transformation.

To prove that T is the zero transformation, you need to show that$T(v)=0$ for every vector v in V.

(i) Let v be the arbitrary vector in V such that$v={c}_{1}{v}_{1}+{c}_{2}{v}_{2}+\cdots +{c}_{n}{V}_{n}$

(ii) Use the definition and properties of linear transformations to rewrite T(v) as a linear combination of$T({v}_{j})$ .

(iii) Use the fact that$T({v}_{j})=0$

to conclude that$T(v)=0,$ making T the zero transformation.

Prove that if a linear transformation

To prove that T is the zero transformation, you need to show that

(i) Let v be the arbitrary vector in V such that

(ii) Use the definition and properties of linear transformations to rewrite T(v) as a linear combination of

(iii) Use the fact that

to conclude that

asked 2021-10-25

Analyze $fx\left(x\right)=4\mathrm{sin}(3x-6)-2$ using our “trig language” (amplitude, period, etc.)
and relate each trig feature to the transformational analysis we’ve done throughout the semester. In other words, state both a transformation, such as shifted left 118 units, and the corresponding “trig language,” phase shift of 118 units left. Be sure to include all transformations and trig features.

asked 2020-10-21

A function f (t) that has the given Laplace transform F (s).

asked 2020-12-15

Find and describe an example of a matrix with each of the following properties.

Briefly describe why the desired property is in the matrix you picked. If no such matrix exists, explain using a theorem studied.

(a) A square matrix representing an injective but not a surjective transformation.

Briefly describe why the desired property is in the matrix you picked. If no such matrix exists, explain using a theorem studied.

(a) A square matrix representing an injective but not a surjective transformation.

asked 2021-08-20

Evaluate Definite Integral Using Integral Properties:

If${\int}_{1}^{7}f\left(x\right)dx=2.5$ and ${\int}_{1}^{7}g\left(x\right)dx=4$ , find ${\int}_{1}^{7}[4f\left(x\right)-2g\left(x\right)]dx$ .

If

asked 2022-02-12

Linear transformation with special properties

Linear transformation$f:{R}^{10}\to {R}^{7}$ has an attribute that every vector v for which is true that $f\left(v\right)=0$ is in linear span ${(1,2,\dots ,10)}^{T},{(1,1\dots ,1)}^{T}>$ . Create such transformation or prove that it doesn't exists.

Linear transformation

asked 2021-11-06

Lineal Algebra. Please provide a well explained solution for the following.
What is the relationship between matrix transformations and linear transformations?
Plus, how to find the matrix that defines a matrix transformation?