Exam 12: Introduction to Trigonometry

In , s = 6, t = 9, and m = 38 ° . Find m to the nearest degree.

For a right triangle in which , it follows that .

In , m = 90 ° . If s = 4 and t = 5, find the exact value of cos S .

If m = 90 ° while m and m in , an expression representing the sum ( )is .

If the sides of have measures a = 3, b = 4, and c = 5, then the measure of (the angle opposite the side of length c )is 90 ° .

Correct to tenths, find the value of the expression 34 ° + 34 ° .

For the isosceles triangle shown, the measure of the vertex angle is m = 38 ° .If AB = BC = 6.8, find AC to the nearest tenth of a unit.

In the figure, is a right angle. Find the value of sin A (also known as sin ).

In a right triangle, the legs have lengths of 5 ft and 12 ft. Using these measures, which ratio (sine, cosine, or tangent)would be used to find the measure of the acute angle that is formed by the hypotenuse and the leg of length 12 feet?

In a triangle with angle measures A , B , and C , the Law of Sines can be written .

In the triangle shown, c = 12, m = 90 ° , and m = 63 ° . To the nearest tenth of a unit, find the length b .

To find the length of apothem a in a regular hexagon with sides of length 6 cm, one could solve the equation tan 60 ° = .

In , AB = 6 cm, AD = 10 cm, and m = 65 ° . To the nearest tenth of centimeter, find the length of altitude from B to side .

If m 90 ° in the triangle shown, then sin .

For any angle measure (where ° and ° ), find the value of the expression .

For an acute triangle, suppose that you know the measures of each angle , , and as well as the lengths a and c for two sides. State the formula that you would use to find the area A of the triangle.

In the triangle shown, m = 90 ° . Find an expression for cos B (also called cos ).

If m = 90 ° and m = 35 ° , one would use sin A to find the value of b .

In , m = 39 ° while s = 6 and t = 9. Find m to the nearest degree.

The exact value for both sin 45 ° and cos 45 ° is .