Mathematics: Solve the formula for the specified variable. v= bqk for b.

Step-by-step explanation:Given data: To find: cos 2 theta and tan 2 thetaSolution:Hence, the trigonometric formula for those are below, Now, find the required data by substituting the given value. We get, Similarly for cos 2 theta, ...

Solve the formula for the specified variable.

Ответ:

lala1794

23.10.2020

Mathematics

$\cos 2(\text { theta })=\frac{7}{25}$

$\tan 2(\text { theta })=-\frac{24}{7}$

Step-by-step explanation:

Given data:

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

To find:

cos 2 theta and tan 2 theta

Solution:

Hence, the trigonometric formula for those are below,

$\tan 2(\text { theta })=\frac{2 \tan (\text { theta })}{1-\tan ^{2}(\text { theta })}$

$\cos 2(\text { theta })=\frac{1-\tan ^{2}(\text { theta })}{1+\tan ^{2}(\text { thet } a)}$

Now, find the required data by substituting the given value. We get,

$\tan 2(\text { theta })=\frac{2 \times\left(-\frac{3}{4}\right)}{1-\frac{9}{16}}=-\frac{3}{2} \times \frac{16}{7}=-\frac{24}{7}$

Similarly for cos 2 theta,

$\cos 2(\text { theta })=\frac{1-\frac{9}{16}}{1+\frac{9}{16}}=\frac{7}{16} \times \frac{16}{25}=\frac{7}{25}$

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Solve the formula for the specified variable. v= bqk for b.

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