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2 years ago

Find the value of cos 28°cos 62°– sin 28°sin 62°

Mathematics

1 answer:

Romashka [77]2 years ago

8 0

<h2>Answer:</h2>

cos 28°cos 62°– sin 28°sin 62° = 0

<h2>Step-by-step explanation:</h2>

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°cos 62°– sin 28°sin 62°

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62° (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

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iragen [17]

The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

brainly.com/question/13602562

7 0

2 years ago

Read 2 more answers

3(1.5x+9)= tell me NOW

Misha Larkins [42]

Answer:

x = -6

Step-by-step explanation:

Simplifying

3(1.5x + 9) = 0

Reorder the terms:

3(9 + 1.5x) = 0

(9 * 3 + 1.5x * 3) = 0

(27 + 4.5x) = 0

Solving

27 + 4.5x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + 4.5x = 0 + -27

Combine like terms: 27 + -27 = 0

0 + 4.5x = 0 + -27

4.5x = 0 + -27

Combine like terms: 0 + -27 = -27

4.5x = -27

Divide each side by '4.5'.

x = -6

Simplifying

x = -6

5 0

3 years ago

Which set of absolute values is compared correctly? A. |-7| |-5| > |-7| > |-8| D. |-4| > |9| > |-3| > |-10|

Sloan [31]

Answer: no idea

Step-by-step explanation:

Thats hard

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3 years ago

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LekaFEV [45]

Answer:Q(5,-2), S(-3,4)

Step-by-step explanation:

(-3,-4) is in the third quadrant so reflected over the x-axis results in it being in the second quadrant so only the y changing to positive giving you (-3,4)

(5,2) is in the first quadrant so when reflected over the x-axis it ends up in the fourth quadrant making y turn to negative giving you (5,-2)

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2 years ago

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Given ΔPQR and ΔSTU, what is m∠Q?

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Answer:

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Find the value of cos 28°​cos 62°​– sin 28°​sin 62°​

Find the value of cos 28°cos 62°– sin 28°sin 62°