Right triangles
Types of exercises: values for 30, 45 and 60 degrees, sine, cosine and tangent from a triangle, angle with a given function value, side of a triangle from a function of the angle, function values and angles from tables or a calculator.
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Using tables or a calculator, give the value to four decimal places
sin 75°
Compute the cosine of the acute angle α
In a right triangle the leg opposite the acute angle α is 60 cm, the adjacent leg is 63 cm, and the hypotenuse is 87 cm.
Compute the length of the leg adjacent to the 60-degree angle
In a right triangle the hypotenuse is 104 cm and one of the acute angles is 60 degrees.
Compute
tan 45° + cos 60°
Give the measure of the acute angle α
24 · sin α = 12
Find, to the nearest 0.1 cm, the length of the hypotenuse
In a right triangle one of the acute angles is 80° and the leg opposite this angle is 28 cm.
Compute the tangent of the acute angle α
In a right triangle the leg opposite the acute angle α is 24 cm, the adjacent leg is 18 cm, and the hypotenuse is 30 cm.
Compute the length of the leg opposite the 30-degree angle
In a right triangle the hypotenuse is 4 cm and one of the acute angles is 30 degrees.
Compute
cos 60° · sin 60°
Give the measure of the acute angle α
6 · cos α = 3
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