sin-cos-tan
Find the tangent of angle C in a right triangle given the opposite side is 15 units and the adjacent side is 9.
tan(C) = opposite/adjacent = 15/9
Find the exact value of cos^-1(-1/2)
2pi/3 or 120 degrees
y = -f(x + 16) -24
Reflection about the x-axis, shifts 16 units to the left, and shifts 24 units downward.
0 = 2x^2 - 3x - 7
x = 3 +- sqrt(65)/ 4
8x + y = -39
2x - 5y = 27
(-4,-7)
In a right triangle, if one acute angle measures 20 degrees and the length of the adjacent side is 10 units, what is the length of the hypotenuse.
hypotenuse = adjacent/sin(0) = hypotenuse = 10/cos(20), the cos(20) = 0.94
10/0.94 = 10.64 units = hypotenuse
Find the exact value of tan^-1(1)
pi/4 or 45 degrees
y = 2f(x - 3) +4
Shifts 3 units to the right, shifts 4 units upward, is vertically stretched by a factor of 2
x^2 - 11x - 32 = 0
x = 11 +- sqrt(249)/ 2
12y = 17 - 9x
-4y -3x = 31
No Solution
Find the exact value of tan(pi/6)
pi/6 = 30 degrees so tan(30) = sqrt(3)/3
Find the exact value of sin^-1(1/2)
pi/6 or 30 degrees
y = 2f(3(x - 4)) -5
Vertically stretch by a factor of 2, horizontally stretched by a factor of 1/3, shifts 4 units to the right, shifts 5 units downward
x(x - 16) = 20
x = 8 +- 2 sqrt(21)
5x + 3y = 7
3x - 5y = -23
(-1,4)
Solve for x, tan 52 = 16/x
x = 16 tan 52
Find x in cos^-1(x) = 16/20
x = cos(0.8)
y = 1/3f(2x - 4) +5
Is horizontally compressed by a factor of 1/2, shifts 4 units to the right, is vertically compressed by 1/3, and shifts 5 units upward
4x^2 - 8x + 4 = 0
x = 1
3x - 7y = -18
4x -2y = -24
(-6,0)
Solve for x, sin 36 = x/24
x = 24 sin 36
Find the exact value of tan^-1(6)
1.4056
y = 5f(-x - 8) -12
Reflects over y axis, shifts 8 units to the left, stretches vertically by a factor of 5, shifts 12 units downward
-6t^2 + 10t - 16 =0
No Solution
11y + 1 = -6x
0 = 43 - 7x - 4y
(9,5)