Right Triangles
A triangle with one 90 degree angle.
What is a right triangle?
330 Degrees converted to radians.
5π/3 radians.
Sine and cosine of 30 degrees.
What is 1/2 and √3/2?
+3 in the equation 2sin(5π/6(x-3))+3
What is the vertical shift?
Simplified 1-sin^2(x).
What is cos^2(x)?
5^2 + 4^2 = x^2
What is the square root of 41?
Coterminal angles of 280 degrees.
What is 640 degrees and -80 degrees?
The sine and cosine of the angle π/4.
What is √2/2?
2 in 2sin(5π/6(x-3))+3.
What is amplitude?
sin(x)
The area of a triangle with a height of 20.5 inches and a base of 12 inches.
123 inches squared
Sine, Cosine, and Tan ratios.
What is opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent.
The quadrant of sine, when sine is equal to √3/2 and cosine is equal to -1/2.
What is quadrant 2?
The minimum value of cos((π/4)(x-2))+1.
What is (6,0)?
In terms of cosine simplify (cos(x)/(1+sin(x)))+tan(x)
What is 1/cos(x)?
TriangleA has a length of 7 and a height of 12, while TriangleB has a length of 15 and a height of x.
What is 180/7 or 25(5/7)?
The radius of a circle is 2 in and has a sector with an angle of 50 degree. Find the area of the sector.
What is approximately 1.745 inches squared?
The angle of sine -1/2 and cosine √3/2.
The maximum of sin((π/2)(x))+3 between 0 and π/3.
What is (1,4)?
true or false: csc^2(x)(1-sin^2(x))=cot^2(x)
True
A building is on fire and Mr. Smith is trapped. A firetruck is 10ft off the ground and has a ladder resting atop it. The ladder is 80ft long and rest against the building at an angle of 50 degrees. Mr Smith is trapped on the 6th floor, which is about 60 feet high. Find if the angle is to high, low, or is fine.
What is too high?
The angle of a sector of a circle is 70 degree, with a area of 22 inches squared. Find the radius.
What is 6 inches?
The cosine of an angle in the fourth quadrant that has a sine of -√2/2.
What is √2/2?
The period of sin((π/2)(x))+3
What is 4?
True or false: (sin^2(θ)-cos^2(θ))/(1-cot^2(θ)=cos^2(θ)
What is false?