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2 years ago

Find the value of x.

Mathematics

2 answers:

bekas [8.4K]2 years ago

5 0

Answer: Option 3

Step-by-step explanation:

Firlakuza [10]2 years ago

4 0

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the concept of trigonometry.

Here, we use the Sine ratio.

Sine 60° = 21/x

===> since sin60° = √3/2

==> x = 21*2/√3

==> x = 42/√3

rationalizing we get as,

==> 42√3/3 ===> 14√3

hence, x = 14√3 units,

so finally, x = 14√3 , option C.) is correct.

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3 years ago

Complete the identity

spin [16.1K]

Answer: $cos(\pi-x)=-cos(x)$

Step-by-step explanation:

We need to apply the following identity:

$cos(A - B) = cos A*cos B + sinA*sin B$

Then, applying this, you know that for $cos(\pi-x)$ :

$cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)$

We need to remember that:

$cos(\pi)=-1$ and $sin(\pi)=0$

Therefore, we need to substitute these values into $cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)$ .

Then, you get:

$cos(\pi-x)=(-1)*cos(x)+0*sin(x)$

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3 years ago