📘Maths

1. What is the value of sin(0)?
a) 0
b) 1
c) -1
d) undefined

Answer: a) 0
2. Which of the following is an identity?
a) sin(a+b) = sin(a) + sin(b)
b) cos(a+b) = cos(a) + cos(b)
c) tan(a+b) = tan(a) + tan(b)
d) sin(2a) = 2sin(a)cos(a)


Answer: d) sin(2a) = 2sin(a)cos(a)
3. What is the period of the function f(x) = 2sin(x)?
a) π
b) 2π
c) 4π
d) 1


Answer: b) 2π
4. If sin(x) = 3/5, what is the value of cos(x)?
a) 4/5
b) 3/4
c) 4/3
d) 5/3


Answer: a) 4/5
5. What is the amplitude of the function f(x) = 3cos(2x)?
a) 1
b) 2
c) 3
d) 6


Answer: c) 3
6. Which of the following is a Pythagorean identity?
a) sin^2(a) + cos^2(a) = 1
b) tan^2(a) + 1 = sec^2(a)
c) cot^2(a) + 1 = csc^2(a)
d) all of the above


Answer: d) all of the above
7. What is the value of tan(π/4)?
a) 0
b) 1
c) -1
d) undefined


Answer: b) 1
8. If f(x) = sin(x) and g(x) = cos(x), what is the value of f(π/2) + g(π/2)?
a) 0
b) 1
c) 2
d) -1
Answer: c) 2


9. What is the phase shift of the function f(x) = sin(x + π/2)?
a) π/2
b) -π/2
c) π
d) -π


Answer: b) -π/2
10. Which of the following is a sum identity?
a) sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
b) cos(a+b) = cos(a)cos(b) - sin(a)sin(b)
c) tan(a+b) = (tan(a) + tan(b))/(1 - tan(a)tan(b))
d) all of the above


Answer: d) all of the above

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