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Gelneren [198K]
2 years ago
14

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\\\\

<em>Now,</em>

<em>Putting the value of A to find the value,</em>

<em />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:

<em>Hey mate, here's ur answer:</em>

<em>----------------------------------------------------------</em>

<em>(4a - 3b + 4c) + (8a - 2b + 3c)</em>

=4a+−3b+4c+8a+−2b+3c

=(4a+8a)+(−3b+−2b)+(4c+3c)

<u>=12a−5b+7c</u>

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

<em>Hope it helps</em>

<em>#stayhomestaysafemate</em>

<em>:D</em>

5 0
2 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

7 0
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
Can someone help me ???
ira [324]
The square root of 72 is rational because the answer can be a real number.
4 0
3 years ago
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