5x-6>1+2(4x+1)
1 answer:
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Because angle lies in second quadrant (negative x axis and positive y axis) we can straight away tell that cos(teta) is negative and tan(teta) is also negative
cos(teta) =
= -4/5
Sin(teta) cannot be larger than 1 so I assume you wanted to say 3/5 because that fits offered answers.
tan(teta) = sin(teta)/cos(teta) = -3/4
cos(teta) =
Sin(teta) cannot be larger than 1 so I assume you wanted to say 3/5 because that fits offered answers.
tan(teta) = sin(teta)/cos(teta) = -3/4
Recall that something inside a radical, comes out only if it's raised to the same root as the radical, for examples,
![\bf \sqrt{25}\implies \sqrt{5^2}\implies \sqrt[2]{5^2}\implies 5 \\\\\\ \sqrt{27}\implies \sqrt{3^3}\implies \sqrt[3]{3^3}\implies 3 \\\\\\ \textit{one can also say that}\qquad 5=\sqrt[2]{5^2}~~or~~3=\sqrt[3]{3^3}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7B25%7D%5Cimplies%20%5Csqrt%7B5%5E2%7D%5Cimplies%20%5Csqrt%5B2%5D%7B5%5E2%7D%5Cimplies%205%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%7B27%7D%5Cimplies%20%5Csqrt%7B3%5E3%7D%5Cimplies%20%5Csqrt%5B3%5D%7B3%5E3%7D%5Cimplies%203%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bone%20can%20also%20say%20that%7D%5Cqquad%205%3D%5Csqrt%5B2%5D%7B5%5E2%7D~~or~~3%3D%5Csqrt%5B3%5D%7B3%5E3%7D%5C%5C%5C%5C%0A-------------------------------)
![\bf therefore\qquad 8.485281374= \begin{cases} \sqrt[2]{8.485281374^2}\\\\ \sqrt[3]{8.485281374^3}\\\\ \sqrt[7]{8.485281374^7}\\\\ \sqrt[11]{8.485281374^{11}}\\\\ \sqrt[x]{8.485281374^x} \end{cases}\impliedby \textit{any is valid} \\\\\\ \textit{so say then}\qquad 8.485281374=\sqrt[2]{8.485281374^2} \\\\\\ 8.485281374=\sqrt{71.999999995951327876}](https://tex.z-dn.net/?f=%5Cbf%20therefore%5Cqquad%20%208.485281374%3D%0A%5Cbegin%7Bcases%7D%0A%5Csqrt%5B2%5D%7B8.485281374%5E2%7D%5C%5C%5C%5C%20%5Csqrt%5B3%5D%7B8.485281374%5E3%7D%5C%5C%5C%5C%0A%5Csqrt%5B7%5D%7B8.485281374%5E7%7D%5C%5C%5C%5C%0A%5Csqrt%5B11%5D%7B8.485281374%5E%7B11%7D%7D%5C%5C%5C%5C%0A%5Csqrt%5Bx%5D%7B8.485281374%5Ex%7D%0A%5Cend%7Bcases%7D%5Cimpliedby%20%5Ctextit%7Bany%20is%20valid%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bso%20say%20then%7D%5Cqquad%208.485281374%3D%5Csqrt%5B2%5D%7B8.485281374%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0A8.485281374%3D%5Csqrt%7B71.999999995951327876%7D)