Exploring Right Triangle Trigonometry

What is the necessary condition for using trigonometric functions in geometry?

• Only isosceles triangles are used

• No specific triangle type is needed

• Any triangle must be used

• A right triangle is necessary

What does the 'O' in SOHCAHTOA stand for?

• Only

• Opposite

• Outside

• Orbit

Which function is the reciprocal of sine?

• Cosine

• Cosecant

• Secant

• Cotangent

What is the correct expression for cosine in terms of sides of a triangle?

• Opposite over Hypotenuse

• Hypotenuse over Opposite

• Opposite over Adjacent

• Adjacent over Hypotenuse

In Example A, what method is used to find the length of the missing side?

• Graphical analysis

• Algebraic manipulation

• Pythagorean theorem

• SOHCAHTOA

Which trigonometric identity is used to rationalize the denominator in the reciprocals?

• Sine

• Secant

• Multiplying by the conjugate

• Cosine

What is the hypotenuse length in Example C after simplification?

• 5

• 26

• 13

• 10

What is the length of the opposite side in Example D?

• 12

• 11

• 6

• 5

Which trigonometric function is used to find side s in the advanced problem-solving section?

• Sine

• Cosecant

• Cosine

• Tangent

How is the missing acute angle found in a right triangle?

• Using the Pythagorean theorem

• Subtracting the known angles from 180 degrees

• Adding the two known angles

• Multiplying the known angles