What is the value of 2*sec^2(0)*tan(0) ?

The value of 2*sec^2(0)*tan(0) is 0

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2sec^2(0)tan(0)

2 \cdot sec^{2} (0) \cdot tan (0)

0

Solution steps

2 sec^{2} (0) tan (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

Use the following trivial identity:

tan (0) = 0

tan (0)

tan (x)

periodicity table with

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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 0

= 2 \cdot 1^{2} \cdot 0

Simplify

= 0

2 cos (2 \cdot \frac{3 π}{4} - \frac{π}{2})

20 tan (2 5^{\circ})

1 - 2 cos (\frac{5 π}{3})

arctan (\frac{- 9 - 57}{4})

arcsin (0.69282)