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3 years ago

Solve 7n 6 4n-2=2n 2(4n 6)

Mathematics

1 answer:

scoray [572]3 years ago

6 0

More information is required to answer the question correctly.

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If the sine ratio is given, then how can sin 0/2 be determined?

pogonyaev

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} }$

Example.

$\sin( \alpha ) = \frac{ \sqrt{3} }{2}$

We must find

$\sin( \frac{ \alpha }{2} )$

First, use the Pythagorean identity

$\sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1$

$( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1$

$\frac{3}{4} + \cos {}^{2} (a) = 1$

$\cos {}^{2} (a) = \frac{1}{4}$

$\cos( \alpha ) = \frac{1}{2}$

Now use the half angle identiy

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

$= \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2}$

So the answer for our example is 1/2

8 0

2 years ago

Rena used the steps below to evaluate the

Yakvenalex [24]

Answer:

$1 \times 2 \times 3 \times 4$

6 0

2 years ago

The quotient of x and 5 is equal to 35 (write and solve an equation based off the verbal phrase)

Maksim231197 [3]

5x=35
35/5=7
x=7

hope this helps

6 0

3 years ago

Read 2 more answers

Please help me :((( thank you ! :(

maxonik [38]

1. 4
2. 12
3. 6
4. 18
5. 2
6. 4
7. 7
8. 15
9. 9

4 0

3 years ago

Read 2 more answers

4/9+3/10= what's the answer please

Marta_Voda [28]

Answer:

67/90

Step-by-step explanation:

no explanation

3 0

3 years ago

Read 2 more answers