Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer:
Volume = Length × Width × Height
Step-by-step explanation:
A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a right rectangular prism, we use the following expression.
Volume = Length × Width × Height
Answer:
x = 18; y = 20
Step-by-step explanation:
6.
Triangles KLM and KNO are similar, so the ratios of the lengths of corresponding sides are equal.
KL/KN = LM/NO
10/30 = 6/x
Cross multiply.
10x = 6 * 30
10x = 180
x = 18
KL + LN = KN
10 + y = 30
y = 20
Answer:
scale factor is 1:3.5
Step-by-step explanation:
56/16 = 3.5
Answer:
x=73
Step-by-step explanation:
