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rjkz [21]
2 years ago
6

I need help proving this ASAP

Mathematics
2 answers:
Tom [10]2 years ago
4 0
Hey sorry I can’t help but use Mathaway or Photomath to help!
Rama09 [41]2 years ago
3 0

Answer:

1 + tan²A = sec²A = 1/cos²A

2tan(X/2)/(1+tan²(X/2))

= 2tan(X/2)cos²(X/2)

= 2[sin(X/2)÷cos(X/2)]cos²(X/2)

= 2sin(X/2)cos(X/2)

= sin(X)

Because sin(2A) = 2sin(A)cos(A)

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
2 years ago
Read 2 more answers
How do i find the area of a trapezoid? please make your answer simple yet descriptive...
Vera_Pavlovna [14]
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3 years ago
Solve the right triangle <br>round your answer to the nearest tenth.​
ICE Princess25 [194]

Answer:

Use SOH-CAH-TOA method and figure out which sign you need. SOH- Sin, CAH- Cos, TOA- Tan.

Also,

SOH- opposite/hypotenuse

CAH- adjacent/hypotenuse

TOA- opposite/adjacent

Look at the angle and see which terms you have already. For example, if you had opposite the angle and the adjacent side, you would choose tangent because its TOA. Hope that helps!

6 0
3 years ago
What is the average rate of change of g over the interval -8&lt;x&lt;-2​
Tems11 [23]

Answer:

if i knew the answer i would tell you

Step-by-step explanation:

6 0
2 years ago
Expression 1:
e-lub [12.9K]
1. Did it mentally think it’s 16. Make sure to yield to order of operations.
2. Because none of the operations are multiplication or division, parenthesis can be put anywhere that isn’t between exponents and it will yield 22.
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2 years ago
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