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BARSIC [14]
3 years ago
11

How do you simplify sin 4 theta using the double angle theory?

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0
Double angle formulae involve trigonometric functions of double angles and in order to get its value you must consider the following:
-derive the double angle formula from additional formula
-write the formula for the angle in alternative form
-use the formula to write trigonometric expressions in different forms
-use the formula in the solution of trigonometric equations

And the answer would be 4sin(theta)cos(theta)cos(2theta)
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Rafael Drive 405 miles using 20 gallons of gas. At that rate, how many gallons of gas would he need to drive 243 miles?
ANEK [815]
This is how I'd set it up:
405/20 = 243/x 
this means the mpg (miles / gallons) for 1 situation is the same as the mpg for the other situation (because the rate is the same)
then just cross multiply and solve:
405x=243*20 or 405x=4860 or x = 12
he would need 12 gallons of gas for 243 miles
3 0
4 years ago
Which sign makes the statement true? (3 × 7) 21 = 1
Aleksandr-060686 [28]

The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.

<h3>How to find the sign?</h3>

The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.

The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.

Solving the expression in the brackets gives:

= 3 x 7

= 21

We therefore need a sign that when related to 21 would give the result, 1.

The only sign that can relate 21 to 21 such that the answer would be 1, is division:
= 21 / 21

= 1

In conclusion, the sign that would make the statement true is a division sign.

Find out more on mathematical signs at brainly.com/question/24034494

#SPJ1

8 0
1 year ago
−5(1+5)=−6−24<br> helppppppppppppppppppppp
GarryVolchara [31]

Answer:

-30=-30

Step-by-step explanation:

Always true.

8 0
3 years ago
Read 2 more answers
Jermiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jermiah uses 3 sticks of butter, how many
xz_007 [3.2K]

Answer:

The answer is 6 cups of flour.

7 0
3 years ago
Let f(x)=−1/4(x+4)^2−8 . What is the average rate of change for the quadratic function from x=−2 to x = 2? Enter your answer in
kiruha [24]

Answer:

Average rate of change of function is -2.

Step-by-step explanation:

Given f(x)=\frac{-1}{4}(x+4)^2-8.

we have to find the average rate of change for the quadratic function from x=−2 to x = 2.

f(-2)=\frac{-1}{4}(-2+4)^2-8=\frac{-1}{4}(4)-8=-9

f(2)=\frac{-1}{4}(2+4)^2-8=\frac{-1}{4}(36)-8=-17

The average rate of change of the function  f(x) on interval [-2,2] is

\frac{f(b)-f(a)}{b-a}=\frac{f(2)-f(-2)}{2-(-2)}=\frac{-17-(-9)}{4}=\frac{-8}{4}=-2

3 0
4 years ago
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