All categories

2 years ago

Cos(2α)sin(α-β)-cos(β-α)sin(2α)

Mathematics

1 answer:

Hunter-Best [27]2 years ago

6 0

Answer:

Step-by-step explanation:

cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)

[cos (-x)=cos x]

sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)

=sin {-(α+β)}

=-sin (α+β)

You might be interested in

Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet

zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

$At=19.25ft^{2}$ ------> equation $1$

$At=(3+2x)*(5+2x)\\ At=3*5+3*2x+5*2x+2x*2x\\ At=15+6x+10x+4x^{2} \\ At=4x^{2} +16x+15$ --------> equation $2$

equate equation $1$ and equation $2$

$19.25=4x^{2} +16x+15\\ 4x^{2} +16x+15-19.25=0\\ 4x^{2} +16x-4.25=0$

therefore

the answer is the option

$C. 4x2 + 16x - 4.25 = 0$

5 0

3 years ago

Read 2 more answers

A football team lost 9 yards on first down and 4 yards on second down. It gained 5 yards on third down. How many yards does it n

GenaCL600 [577]

<span>I Beileve It's 18 Yards</span>

3 0

3 years ago

Read 2 more answers

The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)

lidiya [134]

Answer:

a) No. t < 0 is not part of the useful domain of the function

b) 2.0 seconds

Step-by-step explanation:

a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

4 0

3 years ago

Angle p is an obtuse angle. which could be the measure of angle p

Lunna [17]

Between 90 and 180 degrees

4 0

3 years ago

This month Erica saved $20 more than last month. For the two months, she saved a total of $70. How much did she save each month

skelet666 [1.2K]

If its 20 more than last month that means x + $20 = $70, solve that and you get x = $50, last month she saved $50

7 0

3 years ago

Cos(2α)*sin(α-β)-cos(β-α)*sin(2α)

Cos(2α)sin(α-β)-cos(β-α)sin(2α)