What is the value of -2sec(2((3pi)/4)) ?

The value of -2sec(2((3pi)/4)) is Undefined

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-2sec(2((3pi)/4))

- 2 sec (2 (\frac{3 π}{4}))

Undefined

Solution steps

- 2 sec (2 (\frac{3 π}{4}))

= - 2 sec (2 \cdot \frac{3 π}{4})

Simplify:

2 \cdot \frac{3 π}{4} = \frac{3 π}{2}

2 \cdot \frac{3 π}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 π 2}{4}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{6 π}{4}

Cancel the common factor:

2

= \frac{3 π}{2}

= - 2 sec (\frac{3 π}{2})

Rewrite using trig identities:

sec (\frac{3 π}{2}) =

Undefined

sec (\frac{3 π}{2})

Use the basic trigonometric identity:

sec (x) = \frac{1}{cos ( x )}

= \frac{1}{cos ( \frac{3 π}{2} )}

Simplify

\frac{1}{cos ( \frac{3 π}{2} )} :

Undefined

\frac{1}{cos ( \frac{3 π}{2} )}

cos (\frac{3 π}{2}) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

sin (\frac{- 9 π}{2})

\frac{sin ( 3 0 ^{\circ} )}{sin ( 19. 3 ^{\circ} )}

3 sin (6)

arcsin (0.225)

arcsin (8 \cdot \frac{sin ( 6 0 ^{\circ} )}{7})

What is the value of -2sec(2((3pi)/4)) ?
The value of -2sec(2((3pi)/4)) is Undefined