Sine and Cosine Rules

In any triangle the lengths of the sides have the same ratio as the .....

• opposite angles

• sines of the opposite angles

• cosines of the opposite angles

• exterior angles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle two sides are 10 cm and 14 cm. Opposite to the 3 cm side the interior angle is 40^O. How large is the interior angle being opposite to the 14 cm long side?

• 26^O

• 90^O

• this triangle does not exist

• 64^O

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle two sides are 10 cm and 15 cm long. Their enclosed angle is 50^O. How long is the third side?

• 132 cm

• 11,5 cm

• 346 cm

• 18 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The sine and the cosine rules can be applied in .... triangles.

• only right-angles

• only isosceles

• any types of triangles

• only equilateral

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The two hands of a clock enclose a ... degrees angle at 3 o'clock.

• 90^O

• 45^O

• 60^O

• 180^O

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

In a triangle two sides are 6 cm and 10 cm. Opposite to the 10 cm long side the interior angle is 35^O. How large is the interior angle opposite to the 6 cm long side?

• 0,34^O

• 20^O

• 21^O

• 70^O

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle two sides are 12 cm and 14 cm. Their enclosed angle is 80^O. Calculate the length of the third side of the triangle.

• 16,8 cm

• 15,2 cm

• 17,9 cm

• 20 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How large is the angle that the y=x line encloses with the positive half of the x-axis?

• 90^O

• 30^O

• 45^O

• 60^O

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the range of the sine function?

• [-1; 1]

• [1; -1]

• [0;1]

• the set of the real numbers

Tags

CCSS.HSF-IF.C.7E

How large is the angle in degrees which has a sine of 0,5?

• 30^O

• 45^O

• 60^O

• 90^O

Tags

CCSS.HSG.SRT.C.8