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Mashutka [201]
3 years ago
15

If tan x =3/4, and 0

Mathematics
1 answer:
jasenka [17]3 years ago
6 0

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract  

x

from inside the tangent.

x

=

arctan

(

3

4

)

Evaluate  

arctan

(

3

4

)

.

x

=

0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from  

π

to find the solution in the fourth quadrant.

x

=

(

3.14159265

)

+

0.6435011

Simplify the expression to find the second solution.

Tap for more steps...

x

=

3.78509376

Find the period.

Tap for more steps...

π

The period of the  

tan

(

x

)

function is  

π

so values will repeat every  

π

radians in both directions.

x

=

0.6435011

+

π

n

,

3.78509376

+

π

n

, for any integer  

n

Consolidate the answers.

x

=

0.6435011

+

π

n

, for any integer  

n

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Need help with solving both of these questions for geometry homework.
faltersainse [42]

Answer:

m<R = m<T = 80.5 deg

Step-by-step explanation:

3)

Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.

m<WXZ = 8x - 19 = 45

8x - 19 = 45

8x = 64

x = 8

4)

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The sum of the measures of the interior angles of a convex, n-sided polygon is

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A kite is a quadrilateral, so n = 4.

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The sum of the measures of the interior angles of a kite is 360 deg.

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2m<R = 161

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A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shif
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We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is \frac{7\pi}{12}. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is y=A\cos(b(x-c))-d, where,

A = Amplitude,

\frac{2\pi}{b} = Period,

c = Horizontal shift,

d = Vertical shift.    

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Let us find the value of b.

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Upon substituting our given values in general cosine function, we will get:

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