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3 years ago

Simplify 8gh x 2g2 x 3h

Mathematics

1 answer:

icang [17]3 years ago

8 0

8gh x 2g2 x 3h

Simplified is 8 · 3 gghhxx ·2 · 2

and can also be:

8ghx · 2g · 2x · 3h

24g ₁ ₊ ₁ h ₁ ₊ ₁ x ₁ ₊ ₁ · 2 ₁ ₊ ₁

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Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

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Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

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Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

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3 years ago

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2 years ago

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