What is the value of -2(-2sec^2(0)+3sec^4(0)) ?

The value of -2(-2sec^2(0)+3sec^4(0)) is -2

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-2(-2sec^2(0)+3sec^4(0))

- 2 (- 2 sec^{2} (0) + 3 sec^{4} (0))

- 2

Solution steps

- 2 (- 2 sec^{2} (0) + 3 sec^{4} (0))

Use the following trivial identity:

sec (0) = 1

sec (0)

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= 1

= - 2 (- 2 \cdot 1^{2} + 3 \cdot 1^{4})

Simplify

= - 2

2 sec (3 0^{\circ})

sin (\frac{60}{2})

cos (12 0^{\circ}) + tan (31 5^{\circ}) - sin (21 0^{\circ})

60 sin (2 5^{\circ})

- cos (\frac{π}{3}) + cos (0)

What is the value of -2(-2sec^2(0)+3sec^4(0)) ?
The value of -2(-2sec^2(0)+3sec^4(0)) is -2