Task 1 · easy
Sine of special angle
Enter the exact value of sin30°.
Hint and solution →Original practice tasks · Math · High school . Class 2
Trigonometry — tasks with solutions
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Easy
5
Medium
10
Hard
5
Task 2 · easy
Cosine of special angle
Enter the exact value of cos60°.
Hint and solution →Task 3 · easy
Tangence of special angle
Give me a tg45°.
Hint and solution →Task 4 · easy
Characters of functions for the expanded angle
For 90°<α<180°, specify sinα, cosα and tgα characters.
Hint and solution →Task 5 · medium
Other functions of sinea
The α angle is sharp and sinα=3/5. Mark the cosα and tgα.
Hint and solution →Task 6 · hard
Identity for wide angle
For 90°<α<180° we have sinα=5/13. Mark the cosα and tgα.
Hint and solution →Task 7 · medium
Functions in the rectangular triangle
In the triangle, the sides have 6, 8, 10. For an angle opposite the side of 6 specify sin, cos and tg.
Hint and solution →Task 8 · medium
Triangle 5
In the rectangular triangle, the hypotenuse has 13 and the side opposite α has 5. Calculate cosα and tgα.
Hint and solution →Task 9 · medium
Tangens sides
In the rectangular triangle tgα=3/4, and the rectangular triangle adjacent to α is 12 cm. Calculate the second right-hand and hypotenuse.
Hint and solution →Task 10 · easy
Special angle of sine
The α angle is acute and sinα=1/2. Mark α.
Hint and solution →Task 11 · medium
Sinus field
The sides of 8 and 7 form an angle of 30°. Calculate the area of the triangle.
Hint and solution →Task 12 · medium
The third side of the cosine claim
The sides of 5 and 7 form an angle of 60°. Calculate the third side of c.
Hint and solution →Task 13 · hard
Angle of three sides
The triangle has 5, 6 and 7. Calculate the cosine of the α angle lying opposite the side 5.
Hint and solution →Task 14 · hard
Sine of calculated cosine
For acute α, cosα=5/7 is known. Calculate sina.
Hint and solution →Task 15 · hard
Side of sine claim
In the triangle a=8, α=30°, β=45°. Calculate side b.
Hint and solution →Task 16 · medium
Elevation from sine
The ladder length 10 m forms with an angle of 60°. Calculate the height on which the vertical wall touches.
Hint and solution →Task 17 · medium
The angle of climb
The shadow of the vertical tower has a length of 20 m. The angle of the Sun's ascension is 45°. Calculate the height of the tower, aside from the terrain unevenness.
Hint and solution →Task 18 · hard
Field and third side
The sides of 8 and 10 form an angle of 60°. Calculate the field and the third side c.
Hint and solution →Task 19 · medium
Sine of cosine in a triangle
The α angle is sharp and cosα=12/13. Calculate sina and tgα.
Hint and solution →Task 20 · medium
Tangens Field
Explain why tg90o does not exist.
Hint and solution →Karta pracy do druku
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