Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Evaluate sin(π/4)+cos(π/3)\sin\bigl(\pi/4\bigr) + \cos\bigl(\pi/3\bigr)sin(π/4)+cos(π/3).
Evaluate tan(π/6)−sin(π/3)\tan\bigl(\pi/6\bigr) - \sin\bigl(\pi/3\bigr)tan(π/6)−sin(π/3).
Given f(x)=2x2−3x+1f(x)=2x^2-3x+1f(x)=2x2−3x+1, find f(2)f(2)f(2).
Given g(t)=t3−4tg(t)=t^3-4tg(t)=t3−4t, find g(−1)g(-1)g(−1).
Evaluate sin(2π/3)−cos(π/2)\sin\bigl(2\pi/3\bigr) - \cos\bigl(\pi/2\bigr)sin(2π/3)−cos(π/2).
Evaluate tan(π/4)cot(π/6)\tan\bigl(\pi/4\bigr)\cot\bigl(\pi/6\bigr)tan(π/4)cot(π/6).
Evaluate sin2(π/6)+cos2(π/3)\sin^2\bigl(\pi/6\bigr) + \cos^2\bigl(\pi/3\bigr)sin2(π/6)+cos2(π/3).
Evaluate sin(3π/4) cos(π/6)\sin\bigl(3\pi/4\bigr)\,\cos\bigl(\pi/6\bigr)sin(3π/4)cos(π/6).
Evaluate sin(π/3)tan(π/6)\frac{\sin\bigl(\pi/3\bigr)}{\tan\bigl(\pi/6\bigr)}tan(π/6)sin(π/3).
Evaluate cos(5π/6) tan(π/4)\cos\bigl(5\pi/6\bigr)\,\tan\bigl(\pi/4\bigr)cos(5π/6)tan(π/4).
Given h(θ)=5sinθ+3cosθh(\theta)=5\sin\theta+3\cos\thetah(θ)=5sinθ+3cosθ, find h(π/2)h(\pi/2)h(π/2).
Evaluate sec(π/3)+csc(π/6)\sec\bigl(\pi/3\bigr) + \csc\bigl(\pi/6\bigr)sec(π/3)+csc(π/6).
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