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2 years ago

Prove that cos3A=sin2A

Mathematics

2 answers:

melamori03 [73]2 years ago

4 0

Answer:

Step-by-step explanation:

$Cos3A= Sin2A ........ (i)\\\\Cos3A= Cos (90-2A)\\\\3A= 90-2A\\\\5A= 90\\\\A= 18\\\\$

Now,

Putting the value of A to find the value,

$From (i)\\Cos(3x18) = Sin (2x18)\\Cos54= Sin36\\0.5877= 0.5877 \\LHS=RHSProved .$

Gekata [30.6K]2 years ago

4 0

Answer:

Cos3A= Sin2A ........ (i)

Cos3A= Cos (90-2A)

3A= 90-2A

5A= 90

A= 18

from (i)

Cos(3×18) = Sin (2×18)

Cos54= Sin36

0.5877= 0.5877 proved .

Step-by-step explanation:

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A movie theater has a seating capacity of 271. The theater charges $5.00 for children, $7.00 for students,

nirvana33 [79]

Answer:

Children attended = 154

Students attended = 40

Adults attended = 77

Step-by-step explanation:

Seating capacity = 271

Charges for each children ticket = $5

Charges for each student ticket = $7

Charges for each adult ticket = $12

Let number of children tickets = $2x$

Ticket price for children = $\$ 2x \times 5$

As per question statement, there were half as many adults as there are children,

so number of adult tickets = $x$

Ticket price for adults = $\$ x \times 12$

Now, number of students =

$(271-x-2x)\\\Rightarrow (271-3x)$

Ticket price for students = $\$ (271-3x) \times 7$

Total ticket sales = $1974

$\Rightarrow 12x+2x\times 5 +(271-3x)\times 7 = 1974\\\Rightarrow 22x-21x +(271 \times 7) = 1974\\\Rightarrow x = 1974 - 1897\\\Rightarrow x = 77$

So, number of adults attended = 77

number of children attended = 77 $\times$ 2 = 154

number of students attended = 271 - 77 - 154 = 40

6 0

3 years ago

(4a - 3b + 4c) + (8a - 2b + 3c)

Monica [59]

Answer:

Hey mate, here's ur answer:

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

(4a - 3b + 4c) + (8a - 2b + 3c)

=4a+−3b+4c+8a+−2b+3c

=(4a+8a)+(−3b+−2b)+(4c+3c)

=12a−5b+7c

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

Hope it helps

#stayhomestaysafemate

:D

5 0

3 years ago

Help please :). I hate trigonometry

elena-s [515]

Answer: You shouldn't hate trig.

Step-by-step explanation:

SinΘ= opposite/hypotenuse

SinΘ=y/x

Sin(16) = 9/x

x = 9/Sin(16)

x= 32.7 cm

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2 years ago

Write the equation of the line in slope-intercept form using y=mx+b

Ierofanga [76]

Answer:

y= -5x + 2

Step-by-step explanation:

the slope is heading downwards, and down five units for each one across (hence m=5) and the y-intercept is 2 (hence the 2)

3 0

2 years ago

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ira [324]

The square root of 72 is rational because the answer can be a real number.

4 0

3 years ago

Prove that cos3A=sin2A​

Prove that cos3A=sin2A