What is the value of 7sec(pi/4)+5cot(pi/4) ?

The value of 7sec(pi/4)+5cot(pi/4) is 7sqrt(2)+5

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7sec(pi/4)+5cot(pi/4)

7 sec (\frac{π}{4}) + 5 cot (\frac{π}{4})

72 + 5

Solution steps

7 sec (\frac{π}{4}) + 5 cot (\frac{π}{4})

Use the following trivial identity:

sec (\frac{π}{4}) = 2

Use the following trivial identity:

cot (\frac{π}{4}) = 1

= 72 + 5 \cdot 1

Simplify

= 72 + 5

cos (arccos (2.1))

cos (π (0))

- 3 cos (- \frac{7 π}{6})

- cos (\frac{2 π}{2})

\frac{20}{sin ( 3 5 ^{\circ} )}

What is the value of 7sec(pi/4)+5cot(pi/4) ?
The value of 7sec(pi/4)+5cot(pi/4) is 7sqrt(2)+5