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:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
Domain: x≤5 (notice the closed dot on the right and the arrow on the left)
Range: y≤2 (notice the closed dot on the right and the arrow on the left)
The arrow means it keeps going infinitely. The closed dot means it stops there but is inclusive of that value.
