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2 years ago

Find the value of x. (picture)

Mathematics

1 answer:

velikii [3]2 years ago

4 0

The answer is 147 (80+95+38= 213; 360-213= 147)

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Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

2 years ago

Write a quadratic function whose zeros are -3 and -4

andreev551 [17]

Answer:

f(x) = (x -(-3))(x -(-4))

Step-by-step explanation:

The function can be written as the product of binomial terms whose values are zero at the given zeros.

(x -(-3)) is one such term

(x -(-4)) is another such term

The product of these is the desired quadratic function. In the form easiest to write, it is ...

f(x) = (x -(-3))(x -(-4))

This can be "simplified" to ...

f(x) = (x +3)(x +4) . . . . simplifying the signs

f(x) = x^2 +7x +12 . . . . multiplying it out

6 0

3 years ago

Arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12

blsea [12.9K]

Answer:

11/12, 5/7, 1,8, 1/4, 1/2

Step-by-step explanation:

6 0

2 years ago

What is the measure of

Helen [10]

Answer:

A = 37 degrees ; B = 82 degrees

Step-by-step explanation:

the angle A plus 143 must measure 180 degrees

angle A = 180 - 143 = 37 degrees

the sum of the inner angles of a triangle is 180 degrees

A + B + C = 180

37 + B + 61 = 180

B = 180 - 98 = 82 degrees

7 0

3 years ago

Read 2 more answers

Gian is allowed to spend 45 minutes on the computer after dinner. He spends his entire 45 minutes either watching videos or play

forsale [732]

Y = 45 - x I believe would be the right answer.

4 0

3 years ago

Read 2 more answers