Test 15
1.
\(0\le x<2\pi\)
\(y=\sin(3x)-2\)
\(y\in\mathbb Z\)
\(\Rightarrow\sum y=?\)
A) \(-6\)B) \(-4\)C) \(-2\)D) \(1\)E) \(2\)
2.
\(0\le x<2\pi\)
\(y=\samefrac{4\cos(2x)-2}{3}\)
\(\Rightarrow\text{range}(y)=?\)
A) \(-2\le y\le2\)B) \(-1\le y\le1\)C) \(-3\le y\le6\)D) \(-\samefrac23\le y\le\samefrac23\)E) \(-2\le y\le\samefrac23\)
3.
\(0\le x<2\pi\)
\(A=2\sin\samefrac{3x}{4}-3\)
\(A\in\mathbb Z\)
\(\Rightarrow\sum A=?\)
A) \(-15\)B) \(-10\)C) \(-9\)D) \(-7\)E) \(-5\)
4.
\(0\le y<2\pi\)
\(0\le x<2\pi\)
\(\Rightarrow\max(4\cos x-2\sin y)=?\)
A) \(2\)B) \(3\)C) \(4\)D) \(5\)E) \(6\)
5.
\(a=\sin15^\circ\)
\(b=\cos91^\circ\)
\(c=\tan184^\circ\)
\(d=\cot271^\circ\)
What are the signs respectively?
A) \(-,-,-,-\)B) \(+,-,-,+\)C) \(-,+,-,+\)D) \(+,-,+,-\)E) \(+,+,-,+\)
6.
\(x=\tan\samefrac{4\pi}{3}\)
\(y=\cos17\pi\)
\(z=\sin\samefrac{73\pi}{3}\)
What are the signs respectively?
A) \(+,+,-\)B) \(+,-,-\)C) \(+,+,+\)D) \(-,+,+\)E) \(+,-,+\)
7.
\(m=\cos(-1420^\circ)\)
\(n=\sin(-1420^\circ)\)
\(k=\cot(-1420^\circ)\)
What are the signs respectively?
A) \(+,+,-\)B) \(+,-,+\)C) \(+,+,+\)D) \(-,-,-\)E) \(-,+,-\)
8.
\(a=\sec(-1002^\circ)\)
\(b=\csc(-1002^\circ)\)
\(c=\tan\left(-\samefrac{66\pi}{7}\right)\)
What are the signs respectively?
A) \(+,+,+\)B) \(+,-,+\)C) \(+,+,-\)D) \(-,+,+\)E) \(-,+,-\)