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

The value of 4sec^2(pi/4)tan^2(pi/4)+2sec^4(pi/4) is 16

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4sec^2(pi/4)tan^2(pi/4)+2sec^4(pi/4)

4 sec^{2} (\frac{π}{4}) tan^{2} (\frac{π}{4}) + 2 sec^{4} (\frac{π}{4})

16

Solution steps

4 sec^{2} (\frac{π}{4}) tan^{2} (\frac{π}{4}) + 2 sec^{4} (\frac{π}{4})

Use the following trivial identity:

sec (\frac{π}{4}) = 2

Use the following trivial identity:

tan (\frac{π}{4}) = 1

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

Simplify

4 (2)^{2} \cdot 1^{2} + 2 (2)^{4} : 16

= 16

cos (π - 1) \cdot 0.2

\frac{cos ( 0.002 ) - 1}{0.00 2 ^{2}}

\frac{cos ( 2 ( 0.001 ) ) - cos ( 0.001 )}{0.00 1 ^{2}}

cot (arcsin (\frac{12}{13}))

2 cos (6)

What is the value of 4sec^2(pi/4)tan^2(pi/4)+2sec^4(pi/4) ?
The value of 4sec^2(pi/4)tan^2(pi/4)+2sec^4(pi/4) is 16