How do you evaluate sec(150)?

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How do you evaluate sec(150)?

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Answer 1 · 2018-03-20T14:19:20

$sec150=1/cos150=1/(cos(180-30))=-1/cos30=-1/(1/2)=-2$

Explanation:

The only difficulty would be in $cos(180-30)=-cos30$ . This is easy to see if we remember the formula $cos(180-30)=cos180cos30+sen180sen30=-1·1/2+0·sqrt2/2=-cos30=-1/2$

Answer 2 · 2018-03-20T14:19:56

$-(2sqrt3)/3$

Explanation:

$sec150=1/(cos150)$

now

$cos150=-cos(180-150)$

$cos30=sqrt3/2$

$:.sec150=1/(-sqrt(3)/2)$

$=-2/sqrt3=-(2sqrt3)/3$

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How do you evaluate sec(150)?

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