What is the sine of 30 degrees?
1/2
What is the cosine of 180 degrees?
-1
What is the tangent of 60 degrees?
sqrt(3)
What is the range of the sine function?
[-1,1]
What is the relationship between the angles in a right triangle?
The sum of the angles in a right triangle is 90 degrees for the right angle plus the other two angles, which sum to 90 degrees.
How can you express tangent in terms of sine and cosine?
tan(x) = sin(x) / cos(x)
Two angles of a triangle are 50° and 30°. Find the third angle.
100°
What is the maximum possible value of cosine?
1
Two angles of a triangle are 40° and 70°. Find the third angle.
70°
When we see at a lower level from the horizontal line, then what is the angle formed called as?
Angle of Depression
Find the coterminal angle between 0 degrees and 360 degrees of 440 degrees.
90 degrees
For which values of x between 0 and 360 degrees is: cos(x) = 0?
x = 90 and 270
What are the primary functions of trigonometry?
Sine function, Cosine function and Tangent Function.
What are the SIX fundamental ratios of Trigonometry?
Sine(sin), Cosine(cos), Tangent(tan), Secant(sec), Cosecant(cosec) and Cotangent(cot).
Who is the founder of trigonometry?
A greek astronomer, geographer and mathematician, Hipparchus discovered the concept of trigonometry.
What is the cosine of 60 degrees?
1/2
How do you convert radians to degrees?
Multiply by 180/pi
What is the sine of 45 degrees?
Sqrt(2)/2
How do you use the unit circle to find the cosine of 30 degree?
You can refer to the coordinates of the point on the unit circle at 30 degrees. The cosine of 30 degrees is sqrt(3)/2.
What is
sin2(x) + cos2(x)
equal to?
1
What is the period of the sine function?
2 * pi
How do you determine if two triangles are similar using the angles?
If the corresponding angles of two triangles are equal, the triangles are similar.
What is the difference between radian and a degree?
A radian is based on the radius of a circle, while a degree is a division of a circle into 360 parts.
What is the fundamental period of the tangent function?
How do you find the amplitude of a sinusoidal function?
The amplitude is the absolute value of the coefficient in front of the sine or cosine function.