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Mrac [35]
3 years ago
12

If sin(a) = cos(2a), then what is the value of a?

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

-90 , 30

Step-by-step explanation:

sina = cos(2a)

       = 1 - 2(sina)^2

2(sina)^2 + sina -- 1 = 0

( sina + 1 )( 2sina - 1 ) = 0

sina = -1                     or sina = 1/2

=> a = -90 degrees   or => a = 30 degrees

     

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Which expression represents a negative number?
algol13

Answer:

The expression is A that is -b

8 0
3 years ago
Finding the Midpoint of the Two Coordinates<br> 6.) A(-2, 3), B(5,-1)
RoseWind [281]

Answer:

The answer is

<h2>( \frac{3}{2}  \: , \: 1) \\</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

From the question the points are

A(-2, 3), B(5,-1)

The midpoint is

M = ( \frac{ - 2 + 5}{2} \:   , \:  \frac{3 - 1}{2} ) \\   = ( \frac{3}{2}  \: , \:  \frac{2}{2} )

We have the final answer as

( \frac{3}{2}  \: , \: 1) \\

Hope this helps you

8 0
3 years ago
Please write the slope-intercept form for this: A line goes through the points (5,18) and (-3,-14)
balandron [24]

y = 4x - 2

The equation of a line in ' slope- intercept form ' is

y = mx + c → (m is the slope and c the y- intercept )

To calculate m use the ' gradient formula '

m = (y₂ - y₁ )/(x₂ - x₁ )

let ( x₁, y₁ ) = (5, 18) and (x₂, y₂ ) = ( - 3, - 14 )

m = \frac{(- 14 - 18)}{( - 3 - 5)} = \frac{- 32}{- 8} = 4

the partial equation is y = 4x + c

to find c substitute either of the 2 given points into the partial equation

using (5 , 18) then 18 = 20 + c ⇒ c = 18 - 20 = - 2

y = 4x - 2 is the equation in slope- intercept form


6 0
3 years ago
What’s the gcf of 56 and 90
lana [24]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the value of |−25|?
Kisachek [45]
The answer is 25.

Explanation: absolute value is always the opposite of the number inside the bars unless if the number is already positive, absolute value is always positive.
5 0
3 years ago
Read 2 more answers
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