If sin Θ = 2 over 3 and tan Θ < 0, what is the value of cos Θ?square root 5 over 2

negative square root of 5

square root of 5 over 3

negative square root of 5 over 3

Answers

Answer 1

Answer: if sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative. Using the calculator, the answer is -0.7454. This is equivalent to option D. negative square root of 5 over 3

Answer 2

Answer:

If sin Θ = 2 over 3 and tan Θ < 0, then the value of cos Θ = - (√5) / 3

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!

If $\sin \theta = 2 / 3$ , then :

$\text{opposite = 2}$

$\text{hypotenuse = 3}$

We can calculate adjacent by using Pythagorean theorem .

$adjacent^2 = hypotenuse^2 - opposite^2$

$adjacent^2 = 3^2 - 2^2$

$adjacent^2 = 9 - 4$

$adjacent^2 = 5$

$adjacent = √(5)$

Finally we can calculate the value of cos Θ in the following way :

$\cos \theta = -\text{adjacent / hypotenuse}$

$\large {\boxed {\cos \theta = (-√(5))/(3)} } }$

We give a negative sign because tan Θ < 0, and this means the angle is between 90° and 180°

Learn more

Calculate Angle in Triangle : brainly.com/question/12438587
Periodic Functions and Trigonometry : brainly.com/question/9718382
Trigonometry Formula : brainly.com/question/12668178

Answer details

Grade: High School

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse

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1.- I am a multiple of 3
- I am an odd number
- the sum of my digits is 6
- my ones is one more than my tens digit
- my hundreds digit is 5 times my one digit
what number am I?

2.
- all my digits are different
-my ones digit is 4 times my hundreds digit
- my thousands digit is a perfect square
-my ones digit is 3 more than my tens digit
what number am I?

Answers

Answer:

1. 501

2. 1258 or 4258 or 9258

Step-by-step explanation:

1. represent number (d3d2d1) in terms of x. let x = 10's digit (dxd) then

d2 = x

d1 = x + 1

d3 = 5(x + 1) = 5x + 5

d3 + d2 + d1 = 6

(5x + 5) + (x) + (x + 1) = 6

7x + 6 = 6

7x = 0

x = 0 SO

d3 = (5x + 5) = 5

d2 = 0

d1 = x + 1 = 1

501

2. d4d3d2d1 and d1 not = d2 not = d3 not = d4, let d3 = x and d2 = y then

d2 = y

d3 = x

d1 = 4x and d1 = y + 3 so 4x = y + 3 or y = 4x - 3

d4 = perfect square (1 or 4 or 9)

any d must be <= 9

d4d3d2d1 = (1 or 4 or 9)(x)(4x - 3))(4x) so x<3 (0,1,2) or d1 fails <= 9

(1,4,9)(0,1,2)((4x - 3 = (1,5))((4x = 0,4,8)

d3 (0,1,2) must be 2 because 0 does not work for d2 and 1 does not work for d1, so this make d1 (4x) = 8 so

(d4)(2)(4x - 3 = 5)(4x = 8) = d4 (1,4,9) and 258 so

1258 or 4258 or 9258

Richerds checkbook awnsers as of 02/19

Answers

what is the question and do you know how to spell (i am saying that in the nicest way possible)

conjectures math statement 2(x^2+5)=60 what is the reason? 2x^2+10=60 what is the reason? 2x^2=50 what is the reason? x^2=25 what is the reason? x=+ minus 5.

Answers

2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)

2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
addative inverse (a+-a=0) (added -10 to both sides)

2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)

x^2=25 to x=+/-5
property of equality and something else

Answer:

2(x^2+5)=60 to 2x^2+10=60

distributive property (a(b+c)=ab+ac)

2x^2+10=60 to 2x^2=50

property of equality or something like thht (a=a and b=b, so a-b=a-b) and also

addative inverse (a+-a=0) (added -10 to both sides)

2x^2=50 to x^2=25

propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)

x^2=25 to x=+/-5

property of equality and something else

Step-by-step explanation:

For the data in the table does y vary directly with x? If it does write an equation for the direct variation X Y
16 4
32 16
48 36

A)yes; y=2x
B)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x

Answers

Answer:

D) No; y does not vary directly with x.

Step-by-step explanation:

We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.

y/x = k

where,

k is a constant number

We have 3 ordered pairs:

a) (16, 4)

b) (32, 16)

c) (48, 36)

If we perform y/x for each ordered pair,

a) 4/16 = 0.25

b) 16/32 = 0.50

c) 36/48 = 0.75

Since y/x is not constant, y does not vary directly with x.

I think the answer is D because when I try to solve them they don't equal each other

kirby often forgets to switch the inequity sign when dividing a negative. when solving 3x-10≥x, should kirby collect the variables on the left or the right? why?

Answers

You should collect the variable on the left side since you can't have two variables of the same letter on each side.so you would take the variable from the right side and subtract it from the left. So subtract x on both sides. Your new problem is 2x-10 is greater than or equal to 0. Now you add 10 on both sides. Your new problem is 2x is greater than or equal to 10. Now divide by 2 on both sides. Your answer would be x is greater than or equal to 5

168 newspaper per week equal newspaper per hour ?

Answers

Final answer:

To calculate the number of newspapers per hour, divide the total number of newspapers in a week by the number of hours in a week.

Explanation:

To calculate the number of newspapers per hour, we need to know the number of hours in a week. There are 24 hours in a day and 7 days in a week, so there are 24 x 7 = 168 hours in a week. To find the number of newspapers per hour, we divide the total number of newspapers in a week by the number of hours in a week. In this case, 168 newspapers divided by 168 hours will give us 1 newspaper per hour.