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melodykap
2020-10-18
Answered

Solve

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SoosteethicU

Answered 2020-10-19
Author has **102** answers

Use the sum identity for cosine:

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 2021-06-16

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 2021-12-26

Finding all a such that $f\left(x\right)=\mathrm{sin}2x-8(a+1)\mathrm{sin}x+(4{a}^{2}+8a-14)x$ is increasing and has no critical points

Obviously, the first thing I did was to find the derivative of this function and simplify it a bit and I got:

${f}^{\prime}\left(x\right)=4({\mathrm{cos}}^{2}x-2(a+1)\mathrm{cos}x+({a}^{2}+2a-4))$

But now how do I proceed further, had it been a simple quadratic in x.

Obviously, the first thing I did was to find the derivative of this function and simplify it a bit and I got:

But now how do I proceed further, had it been a simple quadratic in x.

asked 2022-01-03

How to prove $\frac{{e}^{jx}-j{e}^{-jx}}{j{e}^{jx}-{e}^{-jx}}=\frac{\mathrm{tan}x-1}{\mathrm{tan}x+1}$

where$j=\sqrt{-1}$

Ive

where

Ive

asked 2021-06-05

asked 2021-12-17

What is $\mathrm{cos}135$ ?

asked 2020-10-26

Solve:
$4\mathrm{sin}(2y-0.3)+5\mathrm{cos}(2y-0.3)=0$