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wel
2 years ago
11

Simplify 3(tan ^2 0 - sec^2?0)

Mathematics
2 answers:
KIM [24]2 years ago
8 0

Answer:

Step-by-step explanation:

answer is -3 because tan^2 theta-sec^2 theta means -1 and when u multiply -1 and 3 u will get -3.

hammer [34]2 years ago
7 0

A trigonometric expression is given to us and we need to simplify it and find out the value.

<em><u>Given</u></em><em><u> </u></em><em><u>Expression</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

\sf\implies 3(tan^2\theta - sec^2\theta )

<em><u>Using </u></em><em><u>Identity</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

\sf\implies sec^2\theta - tan^2\theta =1

So that ,

\sf\implies tan^2\theta -sec^2\theta = -1

<em><u>Substitute</u></em><em><u> the</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

\sf\implies 3(tan^2\theta - sec^2\theta ) \\\\\sf\implies 3 *(-1) =\boxed{\red{\sf -3}}

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>-</u><u>3</u><u> </u><u>.</u>

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