All categories

2 years ago

What is the range of g?

Mathematics

1 answer:

morpeh [17]2 years ago

6 0

Answer:

[-1,5]

Step-by-step explanation:

all reals between -1 and 5

You might be interested in

In kite WXYZ, m∠XWY = 38° and m∠ZYW = 15°.

Allushta [10]

127 degrees. I just took the test

4 0

2 years ago

Read 2 more answers

Each blank on the coordinate plane has an address called the blank,blank

Mkey [24]

Answer:

adress, Like ( make up an adress)

Step-by-step expanation:

6 0

2 years ago

Read 2 more answers

If the diameter of the clock face is 10 inches, what is the radius? Explain your answer.

Bumek [7]

Answer:

the radius is 5 inches

Step-by-step explanation:

dimeter is twice the radius or radius is half of diameter

7 0

2 years ago

PLZ HELP!!! TIMED WORKSHEET

bogdanovich [222]

Answer:1. 152.4

2. 0.0009

3. 680

Step-by-step explanation:

7 0

2 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

_______________

$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0

2 years ago