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Question
Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter
Answers (1)
2020-11-27
Relevant Questions
asked 2021-06-13
Prove the identity
\(\frac{1}{2\csc 2x}=\cos^2 x \tan x\)
Choose the sequence of steps below that verifies the identity
A) \(\cos^2 x \tan x =\cos^2 x \frac{\sin x}{\cos x}=\cos x \sin x =\frac{\sin 2x}{2}=\frac{1}{2\csc 2x}\)
B) \(\cos^2 x \tan x=\cos^2 x \frac{\cos x}{\sin x}=\cos x \sin x=\frac{\sin 2x}{2}=\frac{1}{2 \csc 2x}\)
C) \(\cos^2 x \tan x=\cos^2 x \frac{\cos x}{\sin x}=\cos x \sin x=2 \sin 2x=\frac{1}{2 \csc 2x}\)
D) \(\cos^2 x \tan x =\cos^2 x \frac{\sin x}{\cos x}=\cos x \sin x=2 \sin 2x=\frac{1}{2 \csc 2x}\)
\(\frac{1}{2\csc 2x}=\cos^2 x \tan x\)
Choose the sequence of steps below that verifies the identity
A) \(\cos^2 x \tan x =\cos^2 x \frac{\sin x}{\cos x}=\cos x \sin x =\frac{\sin 2x}{2}=\frac{1}{2\csc 2x}\)
B) \(\cos^2 x \tan x=\cos^2 x \frac{\cos x}{\sin x}=\cos x \sin x=\frac{\sin 2x}{2}=\frac{1}{2 \csc 2x}\)
C) \(\cos^2 x \tan x=\cos^2 x \frac{\cos x}{\sin x}=\cos x \sin x=2 \sin 2x=\frac{1}{2 \csc 2x}\)
D) \(\cos^2 x \tan x =\cos^2 x \frac{\sin x}{\cos x}=\cos x \sin x=2 \sin 2x=\frac{1}{2 \csc 2x}\)
asked 2021-05-21
The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
\(\begin{array}{|c|c|}\hline x & 1 & 2 & 4 & 8 & 16 \\ \hline p(x) & 0.05 & 0.10 & 0.30 & 0.45 & 0.10 \\ \hline \end{array} \)
a) Compute E(X). (Enter your answer to two decimal places.) GB
b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.) \(GB^{2}\)
c) Compute the standard deviation of X. (Round your answer to three decimal places.) GB
d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.) \(GB^{2}\)
\(\begin{array}{|c|c|}\hline x & 1 & 2 & 4 & 8 & 16 \\ \hline p(x) & 0.05 & 0.10 & 0.30 & 0.45 & 0.10 \\ \hline \end{array} \)
a) Compute E(X). (Enter your answer to two decimal places.) GB
b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.) \(GB^{2}\)
c) Compute the standard deviation of X. (Round your answer to three decimal places.) GB
d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.) \(GB^{2}\)
asked 2021-06-08
Find the derivative of the function.
1) \(f(x)=\arcsin(x-1)\)
2) \(f(x)=\arccos\sqrt{x}\)
3) \(f(x)=\arctan e^x\)
4) \(f(x)=\sin(\arccos x)\)
asked 2021-05-14
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
\(\int37e^{74x}\arctan(e^{37x})dx\)
Inverse Trigonometric Forms (92): \(\int u\tan^{-1}u\ du=\frac{u^{2}+1}{2}\tan^{-1}u-\frac{u}{2}+C\)
\(\int37e^{74x}\arctan(e^{37x})dx\)
Inverse Trigonometric Forms (92): \(\int u\tan^{-1}u\ du=\frac{u^{2}+1}{2}\tan^{-1}u-\frac{u}{2}+C\)
