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

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

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4sec^2(0)tan^2(0)+2sec^4(0)

4 sec^{2} (0) tan^{2} (0) + 2 sec^{4} (0)

2

Solution steps

4 sec^{2} (0) tan^{2} (0) + 2 sec^{4} (0)

Use the following trivial identity:

sec (0) = 1

Use the following trivial identity:

tan (0) = 0

= 4 \cdot 1^{2} \cdot 0^{2} + 2 \cdot 1^{4}

Simplify

= 2

2 sin (10 0^{\circ}) cos (10 0^{\circ})

\frac{1 + cos ( 15 0 ^{\circ} )}{2}

sin (\frac{12}{5})

2 (cos (4 5^{\circ}) + i sin (4 5^{\circ}))

π cos (π) + sin (π)

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