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2 years ago

If sin(x) =-1/2 and tan(x) is negative what is cos(2x)

Mathematics

1 answer:

Keith_Richards [23]2 years ago

3 0

Answer:

positive

Step-by-step explanation:

Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.

ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.

A: all

S: sin

T: tan

C: cos

It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.

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1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

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$c \leqslant 0$

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Darina [25.2K]

Step-by-step explanation:

v=u+at

v=2+(-5)1

2

v=2-2.5

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Answer:What are the answer choices??

Step-by-step explanation:

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A circus audience sits in rows around the performing ring. There are 9 seats in each row. How many rows will need to be set up i

DENIUS [597]

Answer:

57 rows

Step-by-step explanation:

Since each row will have a total of 9 seats, then we would simply need to divide the total number of individuals that will attend the show by 9 in order to calculate the number of rows that need to be set up around the performing ring.

513 / 9 = 57 rows

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