UBC MATH 101 2026 LATEST QUESTIONS AND ANSWERS| ACE YOUR GRADES.

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UBC MATH 101 2026 LATEST
QUESTIONS AND ANSWERS| ACE
YOUR GRADES.


For a function to be differentiable, it must... - correct answer --it
has to be continuous
- the limit from the left has to equal the limit from the right
-




Cscθ - correct answer -1/sinθ




Secθ - correct answer -1/cosθ




Cotθ - correct answer -cosθ/sinθ




Sin²θ + cos²θ = 1 - correct answer -x² + y² = (radius of unit circle)

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Tan²θ + 1 = sec²θ - correct answer -(sin²θ/cos²θ) + (cos²θ/cos²θ)
= (1/cos²θ)




1 + cot²θ = csc²θ - correct answer -(sin²θ/sin²θ) + (cos²θ/sin²θ) =
(1/sin²θ)




Sin(x ± y) - correct answer -sin(x)cos(y) ± cos(x)sin(y)




Cos(x ± y) - correct answer -cos(x)cos(y) ∓ sin(x)sin(y)




Tan(x ± y) - correct answer -[tan(x) ± tan(y)] ÷ [1 ∓ tan(x)tan(y)]




Sin(2x) - correct answer -2 sin(x) cos(x)


Equivalent to sin(x ± x)




Cos(2x) - correct answer -cos²(x) - sin²(x)