Pre-Cal (Mod 8)

Find the area of the triangle with a = 1, b = (sqr)2 and C = 45∘, to the nearest tenth.

0.5 sq. units

In a triangle, if side a = 23, side b = 11 and angle A = 122 degrees, find the value of angle B to the nearest degree.

24 degrees

Given a = 14, b = 6 and c = 12, find the measure of angle B to the nearest degree.angle B = ____________________ degrees

25 degrees

The "s" in Heron's formula represents the sum of the sides of the triangle.

False

tan^2(x) + sec^2(x) = 1

False

Double and Half-Angle Identities

Formulas to help find the exact values of a trig function.

Find the area of the triangle, to the nearest tenth, of the triangle with a = 3, b = 5, and c = 6.

7.5 sq. units

Find the value of angle A in the triangle where a = 8, b = 6 and c = 7 to the nearest degree.

76 degrees

Given a = 14, b = 6 and c = 12, find the measure of angle A to the nearest degree.

96 degrees

The Law of Cosines must be used when only the measures of two sides and the included angle are known.

True

When using a half-angle identity to find the value of sin 15 degrees, 30 degrees should be used in the formula.

True

cos(2A) = 2cos2^2A-1

True

sin 75 can be found using Sum and Difference Identities using angles on the unit circle.

True

sin(5π/12)= sin(π/6+π/4)

True

Use a half-angle identity to find sin(22.5).

((Sqr)2-(sqr)2/2)

Find the exact value of equation cos 15 using a Sum or Difference Identity.

(sqr)(6)+(sqr)(2)/4

Find the exact value of equation sin(7π/12) using a Sum or Difference Identity.

(sqr)(6)+(sqr)(2)/4

Simplify the expression below: sin^2x (cot^2x + 1)

1

Simplify: 1/csc^2x + 1/sec^2x

1

Simplify: in x ∗ csc x

1

Find the area of the triangle, to the nearest whole number, with a = 5, b = 6 and c = 9.

14 sq. units

Find the area of a triangle, to the nearest whole number, of the triangle given a = 7, b = (sqr)51, c=10

25 sq. units

Find the area, to the nearest whole number, of a triangle where a = 7 ft, b = 9.3 ft and angle C = 86 degrees.

32 sq. feet

Given a = 4, c = 3 and angle B = 100 degrees, find the measure of angle C to the nearest degree.

33 degrees

Given a = 4, c = 3 and angle B = 100 degrees, find the value of angle A to the nearest degree.

47 degrees

Given a = 4, c = 3 and angle B = 100 degrees, find the value of side b to the nearest whole number.

5 units

Find the area of the triangle, to the nearest whole number, given a = 12, c = 10 and B = 75∘

58 sq. units

Unit Circle

A circle with radius one.

(csc x + 1)(csc x - 1) = cot x

False

Simplify cscx/cotx.

Sec x

When using Sum and Difference Identities to find the exact value of cos 15 degrees, which of the following could be used?

cos (45 - 30)