| UNIT CIRCLE TRIG | TRIG IDENTITIES | SOH CAH TOA | ANGULAR & LINEAR SPEED | DIRECT, INVERSE, & JOINT VARIATION |
|---|---|---|---|---|
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Yes
Is the point ((sq root 6)/8, sq root 29/32) on the unit circle?
|
Cot^2x
Simplify the expression:
Cot^2(Sin^2x + cos^2x) |
Sin^-1(4/5)
A right triangle has side lengths of 6, 8, and 10. Theta is the angle between the hypotenuse and the side with a length of 6. Find the exact value of theta.
|
False
Is the statement true or false, angular speed depends on the radius?
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K= constant
What does the "k" represent in the equation y=kx?
|
|
(-1,0)
What is the terminal point of -9pi?
|
Sinx
Simplify the expression:
((csc^2x)-(cot^2x))/(cscx) |
X= 58
Look at picture on paper of the triangle. Find x.
|
3.4pi rad/s
What is the angular speed( in terms of pi) of a cowboy swinging a 5 ft long lasso at the rate of 17 revolutions in 10 sec?
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T=(S^3 K)/ W^2
What is the equation that expresses the statement, T is proportional to the cube of S and inversely proportional to the square of W?
|
|
((Sq root 2)/2, (sq root 2)/2)
What is the terminal point of 17pi/4?
|
Secx
Simplify the expression:
(Sinx cscx + tan^2x)/(secx) |
Sin theta= 3/5
Tan theta= 3/4 Cot theta= 4/3 Sec theta= 5/4 Csc theta= 5/3
The triangle is a right triangle. The cos theta=4/5. Find the five other trig ratios of theta.
|
136.02 mi/h
What is the speed in mi/h of a race car with 30 inch diameter wheels if the wheels rotate at 127rpms? Round to two decimal places.
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K=6.5
What is the constant of proportionality if P is jointly proportional to x and y, and inversely proportional to t? If x=4, y=3, and t=3, then P=26
|
|
(4/5, -3/5)
The point B is on the unit circle, find B (x,y). The x coordinate is 4/5 and the point is in the 4th quadrant.
|
Tanx
Simplify the expression:
((Csc^2x)-1)tanx |
X=23.66
Y= 21.45 Theta= 25 degrees
Look at the paper for a picture of the triangle. Solve the triangle completely for ALL angles and sides that aren't already given to two decimal points.
|
641 rad/min
192 m/min
What is the angular and linear speed(in mi/min) of a fan with a .3 meter blade that rotates at 102 rpms? Round to the nearest whole number.
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K=750
D=6750 ft
What is the constant of proportionality of a gun that fires 2400 ft away and the noise takes 3.2 sec to reach you? Find the distance if you hear the shot after 9 sec.
|
|
A) ( -(sq root 2)/2, -(sq root 2)/2)
B) (-(sq root 2)/2, (sq root 2)/2) C) (1,0) D) ((sq root 2)/2, (sq root 2)/2)
Find the terminal points for
A) 225 degrees B) 495 degrees C) 8pi/4 D) 3pi/12 |
Yes
Sinxcosx=sinxcosx
Does the LHS equal the RHS?
(1-cos^2x)/tanx = (tanx cotx Sinx)/(secx) |
X= 37.47
Y= 10
Look at the picture of the triangle on paper. Find x and y and round to two decimal places if necessary.
|
5 in
What is the radius of a fan(to the nearest inch) that spins at 40 rpms and has a linear speed of 1.19mi/h?
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C=pkn
K=5/56 or .089 C=$102679
What is the equation that expresses the statement, the C cost of printing a newspaper is jointly proportional to n number of newspapers printed and p pages in the newspaper? Find the constant if the cost is $80000 for 5600 copies of a 160pg newspaper. Fin
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