Mathematics: Express secΦ in terms of tanΦ

Express secΦ in terms of tanΦ - id13681394, Rock3422

Ответ:

bks53

09.07.2021

Mathematics

$\sec\theta=\sqrt{1+\tan^2\theta}$

Step-by-step explanation:

The trigonometric identity is :

$\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta$

We need to express secθ in terms of tanθ.

The above equation becomes,

$\sec\theta=\sqrt{1+\tan^2\theta}$

Hence, this is the required solution.

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Ответ:

cheyennebrooke01

06.03.2020

Mathematics

By the definition of supplementary angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles 3 and 2 is 180 degrees. By the substitution property, m1 + m2 = m3 + m2. Subtract the measure of angle 2 from each side. You get m1 = m3, or 1 3, by the definition of congruence.

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Express secΦ in terms of tanΦ

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