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3 years ago

Write expression as one circular function

Mathematics

1 answer:

ZanzabumX [31]3 years ago

8 0

Answer:

$\cos^2 x$

Step-by-step explanation:

$\dfrac{\cos^2 x \sin^2 x}{\tan^2 x(1 - \sin^2 x)} =$

$= \dfrac{\cancel{\cos^2 x} \sin^2 x}{\tan^2 x\cancel{\cos^2 x}}$

$= \dfrac{\sin^2 x}{\tan^2 x}$

$= \dfrac{\sin^2 x}{\dfrac{\sin^2 x}{\cos^2 x}}$

$= \sin^2 x \times \dfrac{\cos^2 x}{\sin^2 x}$

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Please help me!

Alex73 [517]

<h3>Answer: angle T = 70</h3>

======================================

Work Shown:

Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).

Draw diagonal line segment TR. This forms triangles TUR and TSR.

Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,

angle U = angle S = 90

--------------

Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.

(angleU)+(angleR)+(angleS)+(angleT) = 360

90+110+90+x = 360

290+x = 360

290+x-290 = 360-290 ... subtract 290 from both sides

x = 70

<h3>angle T = 70</h3>

4 0

3 years ago

You can only draw one unique isosceles triangle that contains an angle of 55°?

blsea [12.9K]

-- If the 55° angle is one of the two equal angles, then
the third angle is 70° .

-- If the 55° angle is the third angle, then each of the two
equal angles is 62.5° .

-- For either of these cases, there are an infinite number
of possible sets of side-lengths.

The statement in the question does not hold water.

6 0

4 years ago

Evaluate the expression,<br> if x = 9, y = 3, and z = 5.<br> z2 • (x-y)

Bad White [126]

$\huge\text{Hey there!}$

$\mathsf{z^2 \times (x - y)}$

$\mathsf{= 5^2 \times (9 - 3)}$

$\mathsf{= 5 \times 5 \times (9 - 3)}$

$\mathsf{= \bold{25}\times(9 - 3)}$

$\mathsf{= 25\times \bf 6}$

$\mathsf{= \bf 150}$

$\huge\text{Therefore, your answer should be: }$

$\huge\boxed{\frak{150}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

2 years ago

Read 2 more answers

Ms. Gregg spent $14 buying fruit

AnnyKZ [126]

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

8 0

3 years ago

in the following diagrams ABD=y,DBC=x,EFH=y, EFG=x and PQS=SQR=x.write the following in terms of x and y ABC

Leokris [45]

Angles are the space between intersecting lines, and they are measured in degrees or radians

The measure of angle ABC is y + x

<h3>How to determine angle ABC</h3>

The given parameters are:

ABD=y,

DBC=x,

EFH=y,

EFG=x

PQS = SQR = x

To determine the measure of angle ABC, we make use of angle ABD and angle DBC

Note that angle ABD and angle DBC have common vertices at points B and D

So, we have:

ABC = ABD + DBC

Substitute known values

ABC = y + x

Hence, the measure of angle ABC is y + x

Write expression as one circular function ​

Write expression as one circular function