What is the height of a square based pyramid with a volume of 100cm3 and a base of 25 cm2?
Volume of pyramid = 1/3 Base x Height
100 = 25h/3
25h = 300
height = 12cm
How do you solve to find a right triangle of you are given three sides?
Square the two smaller sides and add them together. Take the square root of the answer. If that is the same as the third side then you have a right angled triangle and if not, then you have not.
What is coordinates of points in the unit circle?
I'm not sure exactly what this question is asking, but I will attempt to answer.
An angle on the unit circle is created by drawing a straight line from the origin to a point on the circle.
The x-coordinate of a point corresponds to the cosine of the angle.
For example: cos(90o) = 0
The y-coordinate of a point corresponds to the sine of the angle.
For example: sin(270o) = -1
What is this expression as the cosine of an angle cos30cos55 plus sin30sin55?
cos(30)cos(55)+sin(30)sin(55)=cos(30-55) = cos(-25)=cos(25)
Note: cos(a)=cos(-a) for any angle 'a'.
cos(a)cos(b)+sin(a)sin(b)=cos(a-b) for any 'a' and 'b'.
cos(a)cos(b)-sin(a)sin(b)=cos(a+b)
a=7pi/12 and b=pi/6
a+b = 7pi/12 + pi/6 = 7pi/12 + 2pi/12 = 9pi/12
We want to find cos(9pi/12)
cos(9pi/12) = cos(3pi/4)
cos(3pi/4)= cos(pi-pi/4)
cos(pi)cos(pi/4)-sin(pi)sin(pi/4)
cos(pi)=-1
sin(pi)=0
cos(pi/4) = √2/2
sin(pi/4) =√2/2
cos(pi)cos(pi/4)-sin(pi)sin(pi/4) = - cos(pi/4) = -√2/2
What is 2 thetasin theta equals cos theta?
It is a simple trigonometric equation. However, without information on whether the angles are measures in degrees or radians, and with no domain for theta, the equation cannot be solved.
What two numbers give you a product of 6.25 and a sum of 5?
Not two numbers- the same number twice: 2.5 and 2.5. To find this out, use simultaneous equations: xy=6.25 and x+y=5. Rearrange the second equation to y=5-x and substitute this value for y into the first equation: x(5-x)=6.25. Expand the brackets to get 5x-x2=6.25, subtract 6.25 from both sides to get -x2+5x-6.25=0. Apply the quadratic formula to find the final answer.
How can calculate sq mm to sq ft?
Divide by (14400*2.54^2).
Algebraic Steps / Dimensional Analysis Formula ____ mm²*1 cm²
100 mm²*1 in²
6.4516 cm²*1 ft²
144 in²=? ft²
Direct Conversion Formula ____ mm²*1 ft²
92903.04 mm²=? ft²
How do you find a side when you know 2 angles and a side?
you minus the bigger side by the smaller side
example: a 6 in side and a 2 in side. you do 6-2=4. the missing side is 4 in
How do you calculate the the arc of a sector?
To calculate the arc length of a sector:
calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees)
so : (pi * diameter) * (sector angle / 360) = arc length
What is the angular velocity of a 50kHz sine wave?
Letω = angular speed (we can't do velocity with the given information),
f = frequency
ω = 2
π f
ω = 2
π (50 * 1000 Hz) = 100,000
π rad/sec ~= 314,159 rad/spec
Which basic trigonometric identity is actually a statement of the pythagorean theorem?
COS squared Theta + SIN squared Theta = 1; where Theta is the angles measurement in degrees.
What are the six trigonometric functions of special angles?
sine, cosine, tangent, cosecant, secant and cotangent.
No, not necessarily. Cosine theta is equal to 1 only when theta is equal to zero and multiples of 2 pi radians or multiples of 360 degrees. This is because cosine theta is hypotenuse over adjacent, and the ratio 1 only occurs at 0, 360, 720, etc. or 0, 2 pi, 4 pi, etc.
How do you find the height of a right angle?
Assuming you know the angle of ascension, and the base, you can calculate the height by recalling that tangent theta is height over base. Simple algebra from there: height is tangent theta times base.
Does cosec equals sin inverse?
Yes of course
cosec x is the inverse of sin x by definition in trigonometry sin x=opp. side/hypotenuse
cosec x= hypotenuse/opp.side
thank u
What is the exact trigonometric function value of cot 0?
There is no value cot 0, because cot 0 is equivalent to 1 / tan 0, which is equivalent to 1 / 0, which is undefined.
That said, the limit of cot x as x approaches 0 is infinity.