SOLUTION: 1. The number of radians the minute hand will rotate in 35 minutes is...? 2. the reference angle for 222.2 degrees is....? 3. Use identities to find tan A if sec A = 7/3 and A is

Algebra.Com
Question 940224: 1. The number of radians the minute hand will rotate in 35 minutes is...?
2. the reference angle for 222.2 degrees is....?
3. Use identities to find tan A if sec A = 7/3 and A is in quadrant IV?
4. The signs of sec 444 degrees and tan 444 degrees are....?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1. The number of radians the minute hand will rotate in 35 minutes is...?
Ans: (35/60)2pi = 3.665 radians
------------------------------------------------
2. the reference angle for 222.2 degrees is....?
Ans: 222.2-180 = 42.2 degrees
-----------------------------------
3. Use identities to find tan A if sec A = 7/3 and A is in quadrant IV?
sec = r/x, so r = 7 and x = 3
----
Note:: y is negative in QIV
----
Then y = -sqrt[7^2-3^2] = -sqrt(40) = -2sqrt(10)
Ans: tan(A) = y/x = -2sqrt(10)/3
===========================================
4. The signs of sec 444 degrees and tan 444 degrees are....?
444-360 = 84 degrees
sec(444) = sec(84) is positive in QI
tan(444) = tan(84) is positive in QI
================
Cheers,
Stan H.
----------------

RELATED QUESTIONS

What is the reference angle in radians for... (answered by stanbon)
The minute hand of a clock is 8 inches long and the tip of the hand travels 20 inches... (answered by josmiceli)
the minute hand of a clock is 3 inches long. How far does the tip of the minute hand move (answered by Alan3354,ikleyn)
The minute hand of a clock is 1.2 centimeters long. How far does the tip of the minute... (answered by ikleyn)
The pair of measures which is for the same angle is? a. 35 degrees, 0.8017 radians b.... (answered by Fombitz)
An airplane propeller rotates 1000 times per minute. Find the number of degrees that a... (answered by Theo,stanbon)
The minute hand of a clock is 9 inches long. How far does the tip of the minute hand move (answered by Alan3354)
The minute hand of a clock is 12 inches long. How far does the tip of the minute hand... (answered by josmiceli)
The minute hand of a clock is 11 inches long. How far does the tip of the minute hand... (answered by ikleyn,Edwin McCravy)