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faust18 [17]
3 years ago
10

20. Which of the following trigonometric identities is not correct?

Mathematics
1 answer:
ololo11 [35]3 years ago
4 0

Answer:

Check below for the answers

Step-by-step explanation:

Note: The options are not clearly expressed but below are the correct  expressions for the trigonometric identities stated in the options.

Using the SOHCAHTOA principle

sin θ = Opposite / Hypotenuse

tan θ = opposite  / Adjacent

Cot θ = 1 / tan θ = Adjacent / Opposite

cos θ = Adjacent / Hypotenuse

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kherson [118]
Interest equals principle (the amount that you had to begin with) times the rate (the rate if interest) times the time (usually in years)
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3 years ago
Describe what Pi is and explain how it is used in finding the circumference of a circle.
Softa [21]

Answer:

See below.

Step-by-step explanation:

Pi ( written as the Geek letter π) is a universal constant  found by dividing the circumference of a circle by it's diameter. So if you measure the diameter of a circle you can calculate it's circumference by multiplying by π.

Circumference = π * diameter.

It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.

8 0
3 years ago
Read 2 more answers
Use the diagram. AB is a diameter, and AB is perpendicular to CD. The figure is not drawn to scale.
Westkost [7]

Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

180°=33°+arc BD

arc BD=180°-33°=147°

7 0
2 years ago
In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?
exis [7]

Answer:  B) -48

Step-by-step explanation:

If the system of two linear equations a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2 has infinitely many solutions , then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k

For the given system of linear equations : rx-sy=26\\4x+3y=13

We , will have

\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6

The value of rs=(8)\times-6=-48

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

6 0
3 years ago
a bird is flying at a true bearing of 75 degree's at a speed of 40 miles per hour. Write the velocity of the bird as a vector in
Allisa [31]

Answer: V = (10.4 mph, 38.6 mph)

Step-by-step explanation:

The velocity is written as (vx, vy)

where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.

In usual notation, the angles are measured counterclockwise from the positive x-axis.

We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)

vx = 40mph*cos(75°) = 10.4 mph

vy = 40mph*sin(75°) = 38.6mph

Then the vector of velocity is V = (10.4 mph, 38.6 mph)

5 0
3 years ago
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