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2 years ago

-2 and 1/2 divided by 6 please help

Mathematics

1 answer:

Stolb23 [73]2 years ago

8 0

Divide by 6 is the same as times 1/6

-2 and 1/2=-10/2-1/2=-11/2

-11/2 times 1/6=-11/12

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Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

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The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.