The inverse functions of sine, cos and tan functions are csc, sec and cot respectively.
<u>Step-by-step explanation:</u>
The reciprocals of sine, cos and tan functions are csc, sec and cot functions. The reciprocal of cosine function is secant, (sec) sec θ =
The inverse or reciprocal function is cosecant (csc),
The inverse tangent function is cotangent (cot) , expressed in two ways: or
So then its reciprocal or inverse is termed as cot θ.
Answer:
The correct answer is:
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
Hence, the correct answer is .