All categories

3 years ago

g the value of tan(-150) is because -150 is in quadrant the reference angle is and the exact value of tan (-150) is

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

Step-by-step explanation:

Given the expression tan (-150), from trigonometry identity, tan(-θ) = -tanθ

Hence tan (-150) = - tan 150

First is to find the value of tan 150.

tan 150 = tan (180-30)

tan (A+B) = (tan180 - tan30)/1+tan180tan30

tan (180-30) = (0 - 1/√3)/1+0(1/√3)

tan (180-30) = -1/√3/1

tan (180-30) = -1/√3

Since tan 150 = -1/√3

-tan 150 = -(- 1/√3)

-tan 150 = 1/√3

Since -tan 150 = tan (-150) = 1/√3

Hence the exact value of tan (-150) is 1/√3

You might be interested in

Pi is an irrational number. could pi = 22/7? why or why not?

Marina CMI [18]

No, it can't.

Irrational numbers are numbers that cannot be expressed as fractions.

So therefore, Pi cannot equal 22/7.

4 0

3 years ago

Read 2 more answers

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

3 years ago

Read 2 more answers

Help clear the fractions I need more help

marishachu [46]

Answer:

x = $\frac{43}{6}$

Step-by-step explanation:

Given

$\frac{3}{4}$ x - 5 = $\frac{3}{8}$

Multiply through by 8 ( the LCM of 4 and 8 ) to clear the fractions

6x - 40 = 3 ( add 40 to both sides )

6x = 43 ( divide both sides by 6 )

x = $\frac{43}{6}$

3 0

3 years ago

1.4 has 2 significant digits as a result of which rule? a. All nonzero numbers are significant. b. Zeros between nonzero digits

marishachu [46]

Answer:

All non zero digits count in significant digits.

(a) is correct option.

Step-by-step explanation:

Given that,

1.4 has 2 significant digits.

We know that,

Significant digits :

All non zero digits count in significant digits.

All zero which is present in between two significant digits it is also significant.

Leading zero is not count as significant.

Trailing zero is count as significant.

We need to find 1.4 has 2 significant digits as a result of which rule

Using given rules

1.4 has 2 significant digits it is follows the rule of all non zero digits count in significant digits.

Hence, All non zero digits count in significant digits.

(a) is correct option.

6 0

3 years ago

Find the value of each unknown variable in the given figures ?

AveGali [126]

10) a. 130

Step-by-step explanation:

$180 - 50 = 130$

5 0

3 years ago