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Andrew [12]
3 years ago
8

Sinxcosxtanx=1-cos^2x

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Step-by-step explanation:

sin  x \: cos  x \: tanx = 1 -  {cos}^{2} x \\ LHS \\= sin  x \: cos  x \: tanx \\  =sin  x \: cos  x \: \times  \frac{sin  x}{cos  x}  \\  = sin  x \: \times  \frac{sin  x}{1} \\  ={sin}^{2}  x \\  = 1 -  {cos}^{2} x \\  = RHS \\  \therefore \: sin  x \: cos  x \: tanx = 1 -  {cos}^{2} x \\ Hence \: Proved.

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Through (7,2); parallel to 3x-y=8.
Dovator [93]

Answer:

x=4 y=4

Step-by-step explanation:

4 0
3 years ago
19h-7=23+14h <br> solve the equation
amid [387]

Answer:

h=6

Step-by-step explanation:

19h-7=23+14h

-7-23=14h-19h

-30=-5h

h=6

5 0
3 years ago
The function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237. Find the a
trapecia [35]

Answer:

29 is answer.

Step-by-step explanation:

Given that the function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.

To find average velocity of the object over the interval of time [1,3]

We know that derivative of s is velocity and antiderivative of velocity is position vector .

Since moving along a line equation of s is

use two point formula

\frac{s-150}{237-150} =\frac{t-2}{5-2} \\s=29t-58+150\\s=29t+92 gives the position at time t.

Average velocity in interval (1,3)

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5 0
3 years ago
ABCD ~ QRST
slava [35]
The answer for this question is 4.
5 0
3 years ago
Read 2 more answers
Which of the following circles have their centers in the second quadrant? Check all that apply.
ivann1987 [24]
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²

The second quadrant is the one that has negative x coordinates and positive y coordinates.

This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.

B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.

C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.

<span> D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.

Therefore, the correct answers are B and D.
7 0
3 years ago
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