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Popular >

2sec^2(pi/3)

Solution

2 sec^{2} (\frac{π}{3})

Solution

8

Solution steps

2 sec^{2} (\frac{π}{3})

Use the following trivial identity:

sec (\frac{π}{3}) = 2

sec (\frac{π}{3})

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= 2

= 2 \cdot 2^{2}

Simplify

2 \cdot 2^{2} : 8

2 \cdot 2^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2^{2} = 2^{1 + 2}

= 2^{1 + 2}

Add the numbers:

1 + 2 = 3

= 2^{3}

2^{3} = 8

= 8

= 8

Popular Examples

sin (- \frac{5 π}{2})

sin(1/(sqrt(2)))

sin (\frac{1}{2})

arccos(cos(-(3pi)/5))

arccos (cos (- \frac{3 π}{5}))

2 sin (\frac{7 π}{6})

cos (\frac{14 π}{3})

Frequently Asked Questions (FAQ)

What is the value of 2sec^2(pi/3) ?
The value of 2sec^2(pi/3) is 8