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:
297.5 in
Step-by-step explanation:
Area of triangle = Base times Height divided by 2.
Base=35
Height=17
So, 35 x 17 = 595
595/2=297.5
The correct answer is option A
A) Equation 1 and equation 2 have no solutions
For the equation 1
l 3x-1 l +7=2
l 3x-1 l = 2-7 =-5
The absolute value should be positive
So, there is no solution
For the equation 2
l 2x+1 l +4 = 3
l 2x+1 l = 3 - 4= -1
The absolute value should be positive
So, there is no solution
