simplify

DofotheroU
2020-12-28
Answered

simplify

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Faiza Fuller

Answered 2020-12-29
Author has **108** answers

asked 2021-06-16

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute.

asked 2020-10-18

If $\mathrm{sin}x+\mathrm{sin}y=a{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\mathrm{cos}x+\mathrm{cos}y=b$ then find $\mathrm{tan}(x-\frac{y}{2})$

asked 2021-09-16

Write the trigonometric expression as an algebraic expression. $\mathrm{cos}(\mathrm{arcsin}x-\mathrm{arctan}2x)$

asked 2021-10-28

Determine the equation of the tangent line to the given path at the specified value of t.

$(\mathrm{sin}3t,\mathrm{cos}3t,2{t}^{\frac{5}{2}});t=1$

asked 2021-08-18

Write an equation in terms of x and y for the function that is described by the given characteristics. A sine curve with a period of

asked 2022-05-22

Prove that $\mathrm{sin}x+2x\ge \frac{3x(x+1)}{\pi}$ for all $x\in [0,\frac{\pi}{2}]$

How did π come in the expression? This is how I tried to solve.

$\mathrm{sin}x\le x$ so $\mathrm{sin}2x\le 2x$

$\mathrm{sin}x+2x\le 3x$

Applying AM GM inequality: $\mathrm{sin}x+2x\ge 2\sqrt{2x\mathrm{sin}x}$

$3x\ge 2\sqrt{2x\mathrm{sin}x}$

This how far I can go.

How did π come in the expression? This is how I tried to solve.

$\mathrm{sin}x\le x$ so $\mathrm{sin}2x\le 2x$

$\mathrm{sin}x+2x\le 3x$

Applying AM GM inequality: $\mathrm{sin}x+2x\ge 2\sqrt{2x\mathrm{sin}x}$

$3x\ge 2\sqrt{2x\mathrm{sin}x}$

This how far I can go.

asked 2021-12-16

How do you find the exact value of ${\mathrm{cos}}^{-1}0$