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

The value of sec(pi/4)tan(pi/4) is square root of 2

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sec(pi/4)tan(pi/4)

sec (\frac{π}{4}) tan (\frac{π}{4})

2

Solution steps

sec (\frac{π}{4}) tan (\frac{π}{4})

Use the following trivial identity:

sec (\frac{π}{4}) = 2

Use the following trivial identity:

tan (\frac{π}{4}) = 1

= 2 \cdot 1

Simplify

= 2

arctan (tan (\frac{4 π}{3}))

sec (- \frac{7 π}{6})

tan (arcsin (\frac{5}{13}))

arccos (cos (\frac{3 π}{2}))

sec (\frac{10 π}{3})

What is the value of sec(pi/4)tan(pi/4) ?
The value of sec(pi/4)tan(pi/4) is square root of 2