How do you find the exact value of $sec 30 cot 45$ $sec30cot45$ ?

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Answer 1 · 2018-06-20T19:33:49

$\frac{2 \sqrt{3}}{3}$ $(2sqrt3)/3$

$= sec 30 cot 45$ $=sec30cot45$

$= \frac{1}{cos 30} \cdot \frac{1}{tan 45}$ $=1/cos30*1/tan45$

use the unit circle to find exact values:

$cos 30 = \frac{\sqrt{3}}{2}$ $cos30=sqrt3/2$

$\frac{1}{cos 30} = \frac{2}{\sqrt{3}}$ $1/cos30=2/sqrt3$

$tan 45 = 1$ $tan45=1$

$\frac{1}{tan 45} = \frac{1}{1} = 1$ $1/tan45=1/1=1$

$= sec 30 cot 45 = \frac{2}{\sqrt{3}} \cdot 1 = \frac{2}{\sqrt{3}} = \frac{2 \sqrt{3}}{3}$ $=sec30cot45 = 2/sqrt3*1=2/sqrt3=(2sqrt3)/3$

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How do you find the exact value of sec30cot45sec30cot45sec30cot45?