2000004201
Level:
C
On the interval \( (0;\pi)\), simplify the expression \(\frac{2\sin x + \sin 2x}{2\sin x -\sin 2x}\).
\(\frac{1+\cos x}{1-\cos x}\)
\(\frac{1-\cos x}{1+\cos x}\)
\( 1+\cos x\)
\( 1-\cos x\)
Sine, cosine, tangent and cotangent
2000004102
Level:
A
Calculate the value of the expression \(\sin\left( {\frac{2}{3}\pi} \right) +2\sin\left( {\frac{5}{3}\pi} \right) - 3\sin\left( {\frac{4}{3}\pi} \right) \).
\( \sqrt{3}\)
\( -\sqrt{3}\)
\( \frac{\sqrt{3}}{2}\)
\(2 \sqrt{3}\)
2000004101
Level:
A
Calculate the value of the expression \(\sin{45^{\circ}} -2\sin{225^{\circ}} - 5\sin{135^{\circ}}\).
\(- \sqrt{2}\)
\( \sqrt{2}\)
\( -2\sqrt{2}\)
\(- \sqrt{3}\)
Signs of Trigonometric Functions II
Submitted by ladislav.foltyn on Fri, 04/19/2019 - 16:56Question:
In each row, check the cell whenever the corresponding function takes a positive value.
Properties of Trigonometric Functions
Submitted by ladislav.foltyn on Thu, 04/18/2019 - 11:00Signs of the Trigonometric Functions I
Submitted by ladislav.foltyn on Thu, 04/18/2019 - 10:45Question:
In each row, check the cell whenever the corresponding function takes a positive value.
Graphs of Trigonometric Functions I
Submitted by ladislav.foltyn on Thu, 03/14/2019 - 19:21Evaluating Expressions with Trigonometric Functions I
Submitted by ladislav.foltyn on Sat, 02/23/2019 - 13:12Graphs of Trigonometric Functions II
1003076712
Level:
C
Let \( \sin x = a \) and \( \cos x = b \). Then \( \cos(2x) \) is equal to:
\( b^2-a^2 \)
\( 2b \)
\( 2ab \)
\( a^2-b^2 \)