Trigonometry Questions

Q: What is the scalar result of sin(pi/2)?

A: 1

Q: What function results from sin(pi/2 – x)?

A: cos(x)

Q: How is sin(30 degrees) expressed in radians?

A: pi/6 radians

Q: What is the ratio used to determine cos(x)?

A: adjacent / hypotenuse.

Q: How are degrees converted to radians?

A: Multiply the value in degrees by pi/180.
Example:  135 (π/180) = 135π/180 = (15)(9)π/3(60) = (5)(3)(3)(3)π/(3)(12)(5) = (3)(3)π/(4)(3) = 3π/4
135 degrees = 3π/4 radians

Q: How are radians converted to degrees?
A: Multiply the value in radians by 180/pi.
Example:  π/4(180/π) = 180/4 = 3(60)/4 = (3)(12)(5)/4 = (3)(4)(3)(5)/4 = (3)(3)(5) = 9(5) = 45
π/4 radians = 45 degrees

Q: What is the reciprocal of sine Θ?
A: 1/cosecant Θ

Q: What is the reciprocal of cosine Θ?
A: 1/secant Θ

Q: What is the reciprocal of tangent Θ?
A: 1/cotangent Θ

Q: How is the sine function represented in terms of cosine?
A: sin θ = ±√1 – cos²θ

 

I will be posting questions to this page regularly. Check back for more.

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