Answer:
Step-by-step explanation:
Start by noticing that the angle 
is on the 4th quadrant (between 
and 
. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:
Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:
The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle 
which renders for the cosine function the value 
.
Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: 
Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is:
Answer:9 adult tickets and 2 kid tickets
Step-by-step explanation:
Answer:
Solution given:
radius [r]=2cm
height [h]=8cm
total surface area of cylinder=?
we have
total surface area of cylinder=2πr²+2πrh
- 2πr(r+h)
- 2π*2(2+8)
- 40π or 125.66cm²
<u>total surface area of cylinder</u><u>40π or 125.66cm²</u><u>.</u>
Let the number be x.
8 - x = x -34
2x = 8 + 34
2x = 42
x = 21
Answer: The number is 21.
Answer:
Measure of ∠P = 60°
Step-by-step explanation:
Consider triangle PMO.
Since PM is perpendicular to MO , hence m∠PMO = 90°
Also given that m∠MOP = m∠2 = 30°
And since sum of three angles of a triangle is 180°
⇒ m∠PMO + m∠MOP + m∠MPO = 180°
⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°
Hence m∠MPO that is m∠P is 60°
