Complete the table.
Degrees | Radians | sin | cos | tan |
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Complete the table.
Degrees | Radians | sin | cos | tan |
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Given that , where , find the possible values of cos and tan .
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The following triangle shows triangle ABC, with and .
Given that , find the area of the triangle. Give your answer in the form , where .
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The following triangle shows triangle ABC, with .
Given that , find the value of .
Find the exact area of triangle ABC.
By finding the value of , show that triangle ABC is isosceles.
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A sector of a circle, OPQ, is such that it has radius 3.4 cm and the angle at its centre, O, is radians.
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Two non-congruent triangles both have sides , and .
Show that the angle for one of the triangles is 132°, to 3 significant figures.
Find the angle for the other triangle.
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A right-angled triangle has hypotenuse 8 cm. One of its other sides is 5 cm.
Find exact values for , and , where is the smallest angle in the triangle.
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The diagram below shows the sector of a circle .
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The canopy of a parachute and the outermost connecting cords form a sector of a circle as shown in the diagram below, with the parachutist modelled as a particle at point .
The area of the sector OAB is .
Find the length of one of the connecting cords on the parachute.
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A plastic puzzle piece is in the form of a prism with a cross-section that is the sector of a circle, as shown in the diagram below. The radius of the sector is , and the angle at the centre is .
The height of the puzzle piece is .
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The circle sector OAB is shown in the diagram below.
The angle at the centre is , and the line segments OC and BC have lengths of and respectively.
Additionally, is parallel to AB, so that and .
Show that the area of the sector is
Show that the area of the triangle is .
Given that the area of the shaded shape is find the value of .
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