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3 years ago

Find the exact value by using a half-angle identity. sin(5pi/12)

1 answer:

5 0

Find tan(5π12) and sin ((5pi)/12)
Answer: ±(2±√3)and±√2+√32

Explanation:

Call tan ((5pi/12) = t.
Use trig identity: tan2a=2tana1−tan2a
tan(10π12)=tan(5π6)=−1√3=2t1−t2
t2−2√3t−1=0

D=d2=b2−4ac=12+4=16--> d=±4

t=tan(5π12)=2√32±42=2±√3

Call sin(5π12)=siny
Use trig identity: cos2a=1−2sin2a
cos(10π12)=cos(5π6)=−√32=1−2sin2y
sin2y=2+√34
siny=sin(5π12)=±√2+√32

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F(x)=x^2+7x-30 Find the intercepts, domain and range

Zigmanuir [339]

Answer:

domain (-inf, +inf)

range [-30, +inf)

y-int = -30

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Step-by-step explanation:

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3 years ago

The number of new cars purchased in a city can be modeled by the equation C=20t to the 2nd power, where C is the number of new c

Allisa [31]

Answer:

$1998 + 5\sqrt{30}$

Step-by-step explanation:

Set up the equation:

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3 years ago

True or False: at a fundraising event $50 gift cards are awarded to each of 10 raffle winners. The total number of possibilities

DaniilM [7]

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3 years ago

Hello Please Find The Answer To This Question (easy)

irina [24]

The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the perpendicular line will be given as

y = mx + c

The given equation is y = -5/2 x + 1.

The slope of the line is -5/2.

Then the product of the slope of the perpendicular lines is a negative one.

-5/2 × m = - 1

m = 2/5

Then the equation will be

y = 2/5 x + c

Then the equation is passing through (10, 3). Then we have

3 = 2/5 × 10 + c

3 = 2 + c

c = 1

Then the equation is y = 2/5 x + 1.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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2 years ago

2 Points

Inga [223]

Answer:

Step-by-step explanation:

Given

9 - 7x = (4x - 3)² + 5 ← expand the squared factor

9 - 7x = 16x² - 24x + 9 + 5, that is

9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )

0 = 16x² - 17x + 5, that is

16x² - 17x + 5 = 0 ← in standard form → D

4 0

3 years ago