All 6 Trig Functions

If cot(θ) = 3, what is tan(θ)?

• @@rac{1}{3}@@

• 3

• @@rac{3}{1}@@

• 1

What is the value of tan(θ) if sin(θ) = 3/5 and cos(θ) = 4/5?

• @@rac{3}{4}@@

• @@rac{4}{3}@@

• @@rac{5}{3}@@

• @@rac{3}{5}@@

What are the six trigonometric functions?

• Sine (sin), Cosine (cos), Tangent (tan), Cosecant (csc), Secant (sec), Cotangent (cot)

• Sine (sin), Cosine (cos), Tangent (tan), Cosecant (csc), Secant (sec), Arcus (arc)

• Sine (sin), Cosine (cos), Tangent (tan), Cosecant (csc), Cotangent (cot), Hyperbolic (hyp)

• Sine (sin), Cosine (cos), Tangent (tan), Cosecant (csc), Secant (sec), Exponential (exp)

What is the value of csc(θ) if sin(θ) = 0.8?

• 1.25

• 1.2

• 1.5

• 0.8

How do you find the value of cotangent (cot)?

• Cotangent is the reciprocal of sine: @@ ext{cot}( heta) = rac{1}{ ext{sin}( heta)}@@

• Cotangent is the reciprocal of tangent: @@ ext{cot}( heta) = rac{1}{ ext{tan}( heta)} = rac{ ext{adjacent}}{ ext{opposite}}@@

• Cotangent is the ratio of opposite to adjacent: @@ ext{cot}( heta) = rac{ ext{opposite}}{ ext{adjacent}}@@

• Cotangent is the sum of sine and cosine: @@ ext{cot}( heta) = ext{sin}( heta) + ext{cos}( heta)@@

What is the Pythagorean Theorem?

• In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: @@a^2 + b^2 = c^2@@.

• The sum of the angles in a triangle is equal to 180 degrees.

• The area of a circle is equal to pi times the radius squared.

• In a right triangle, the length of the hypotenuse is equal to the sum of the lengths of the other two sides.

What is the value of sec(θ) if cos(θ) = 0.5?

• 1

• 2

• 0.5

• 3

Define Sine (sin) in a right triangle.

• Sine is the ratio of the length of the adjacent side to the length of the hypotenuse: @@ ext{sin}( heta) = rac{ ext{adjacent}}{ ext{hypotenuse}}@@.

• Sine is the ratio of the length of the opposite side to the length of the hypotenuse: @@ ext{sin}( heta) = rac{ ext{opposite}}{ ext{hypotenuse}}@@.

• Sine is the ratio of the length of the opposite side to the length of the adjacent side: @@ ext{sin}( heta) = rac{ ext{opposite}}{ ext{adjacent}}@@.

• Sine is the ratio of the length of the hypotenuse to the length of the adjacent side: @@ ext{sin}( heta) = rac{ ext{hypotenuse}}{ ext{adjacent}}@@.

Define Cosine (cos) in a right triangle.

• Cosine is the ratio of the length of the opposite side to the length of the hypotenuse: @@ ext{cos}( heta) = rac{ ext{opposite}}{ ext{hypotenuse}}@@.

• Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse: @@ ext{cos}( heta) = rac{ ext{adjacent}}{ ext{hypotenuse}}@@.

• Cosine is the ratio of the length of the adjacent side to the length of the opposite side: @@ ext{cos}( heta) = rac{ ext{adjacent}}{ ext{opposite}}@@.

• Cosine is the ratio of the length of the hypotenuse to the length of the opposite side: @@ ext{cos}( heta) = rac{ ext{hypotenuse}}{ ext{opposite}}@@.

Find the missing side of a right triangle if one side is 6 and the hypotenuse is 10.

• 6

• 7

• 8

• 9