What is the value of 3sec(pi/4)tan(pi/4)+10csc^2(pi/4) ?

The value of 3sec(pi/4)tan(pi/4)+10csc^2(pi/4) is 3sqrt(2)+20

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3sec(pi/4)tan(pi/4)+10csc^2(pi/4)

3 sec (\frac{π}{4}) tan (\frac{π}{4}) + 10 csc^{2} (\frac{π}{4})

32 + 20

Solution steps

3 sec (\frac{π}{4}) tan (\frac{π}{4}) + 10 csc^{2} (\frac{π}{4})

Use the following trivial identity:

sec (\frac{π}{4}) = 2

Use the following trivial identity:

tan (\frac{π}{4}) = 1

Use the following trivial identity:

csc (\frac{π}{4}) = 2

= 32 \cdot 1 + 10 (2)^{2}

Simplify

32 \cdot 1 + 10 (2)^{2} : 32 + 20

= 32 + 20

arccos (\frac{0}{2})

9 sin (\frac{π}{3})

sin (5 0^{\circ}) cos (4 0^{\circ}) + cos (5 0^{\circ}) sin (4 0^{\circ})

15 \cdot sin (4 0^{\circ})

5 sec^{2} (\frac{π}{4})

What is the value of 3sec(pi/4)tan(pi/4)+10csc^2(pi/4) ?
The value of 3sec(pi/4)tan(pi/4)+10csc^2(pi/4) is 3sqrt(2)+20