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.
Sine, cosine, tangent and cotangent
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:
\( b^2-a^2 \)
\( 2b \)
\( 2ab \)
\( a^2-b^2 \)
1003076711
Level:
C
\( ABC \) is a triangle with side \( c = 27\,\mathrm{cm} \) and the angle \( \gamma = 78^{\circ} \). The radius of the circle circumscribed is:
\( 13.8\,\mathrm{cm} \)
\( 27.6\,\mathrm{cm} \)
\( 18.3\,\mathrm{cm} \)
\( 6.9\,\mathrm{cm} \)
1003076709
Level:
C
The area of an obtuse triangle is \( 2\,\mathrm{dm}^2 \). The lengths of sides containing the obtuse angle are \( 2\,\mathrm{dm} \) and \( 4\,\mathrm{dm} \). The measure of this angle is:
\( 150^{\circ} \)
\( 165^{\circ} \)
\( 155^{\circ} \)
\( 158^{\circ} \)
1003076707
Level:
B
How many values of the angle \( \alpha \in\left[0^{\circ}; 360^{\circ}\right] \) satisfy the equation
\( \sin \alpha = \cos\alpha \)?
\( 2 \)
\( 1 \)
\( 0 \)
\( 3 \)