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3 years ago

Someone please help??

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

4 is the correct answer as 4th root of 1296 is 6

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Write each of the following as a function of theta. 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago

Hi I need HELP with this question

myrzilka [38]

Answer:

Step-by-step explanation:

8 0

2 years ago

What is 12+ 15x please

Elena L [17]

Answer: 15x+12

Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.

7 0

2 years ago

I WILL GIVE BRAINLIEST Solve for t 4 (t + 1/4) = 3 t =

Ulleksa [173]

Answer:

t= 1/2

Step-by-step explanation:

hope this help

8 0

3 years ago

Read 2 more answers

Whats the answer? please reply quickly.

evablogger [386]

Answer:

2 1/3 cups of flour for every dozen muffins

Step-by-step explanation:

1 1/2 dozen muffins equals 3 1/2 cups of flour which is also the same as 7/2 cups of flour. I know that (3) 1/2 dozen equals 1 1/2 dozen so I divided 7/2 by 3 which is 1 1/6 to get how much flour for 1/2 dozen then multiplied it by 2 to get how much flour in a dozen = 2 2/6 which simplified is 2 1/3.

7 0

2 years ago