What are the exact roots for $5-tan^2theta=4$ is undefined in $-180^circ<=theta<360^circ$ ?

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What are the exact roots for $5-tan^2theta=4$ is undefined in $-180^circ<=theta<360^circ$ ?

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Answer 1 · 2018-01-22T15:49:34

$-90^@; 90^@, and 270^@$

Explanation:

When $t = pi/2$ , and $t = (3pi)/2$ --> tan t = +- infinity -->
$tan^2 t$ = infinity.
So, the equation is undefined when $t = pi/2$ , and $t = (3pi)/2$
In the interval (- 180, 0, 360), the equation is undefined when -->
t = - 90^@, t = 90^@, and t = 270^@.

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What are the exact roots for $5-tan^2theta=4$ is undefined in $-180^circ<=theta<360^circ$ ?

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What are the exact roots for $5-tan^2theta=4$ is undefined in $-180^circ<=theta<360^circ$ ?