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Popular >

3tan^2(480)

Solution

3 tan^{2} (48 0^{\circ})

Solution

9

Solution steps

3 tan^{2} (48 0^{\circ})

tan (48 0^{\circ}) = tan (12 0^{\circ})

= 3 tan^{2} (12 0^{\circ})

Rewrite using trig identities:

tan^{2} (12 0^{\circ}) = sec^{2} (12 0^{\circ}) - 1

= 3 (sec^{2} (12 0^{\circ}) - 1)

Use the following trivial identity:

sec (12 0^{\circ}) = - 2

= 3 ((- 2)^{2} - 1)

Simplify

3 ((- 2)^{2} - 1) : 9

= 9

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Frequently Asked Questions (FAQ)

What is the value of 3tan^2(480) ?
The value of 3tan^2(480) is 9