What is the value of 16pi-16picos(1.5pi) ?

The value of 16pi-16picos(1.5pi) is 16pi-16picos((3pi)/2)

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16pi-16picos(1.5pi)

16 π - 16 π cos (1.5 π)

16 π - 16 π cos (\frac{3 π}{2})

Decimal Notation

50.26548 \dots

Solution steps

16 π - 16 π cos (1.5 π)

= 16 π - 16 π cos (\frac{3}{2} π)

Rewrite as

= cos (2 \cdot \frac{3 π}{4})

Rewrite using trig identities:

cos (2 \cdot \frac{3 π}{4}) = cos^{2} (\frac{3 π}{4}) - sin^{2} (\frac{3 π}{4})

cos (2 \cdot \frac{3 π}{4})

Use the Double Angle identity:

cos (2 x) = cos^{2} (x) - sin^{2} (x)

= cos^{2} (\frac{3 π}{4}) - sin^{2} (\frac{3 π}{4})

= 16 π - 16 π cos (\frac{3}{2} π)

Simplify:

\frac{3}{2} π = \frac{3 π}{2}

\frac{3}{2} π

Multiply fractions:

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

= \frac{3 π}{2}

= 16 π - 16 π cos (\frac{3 π}{2})

cos (33 0^{\circ}) csc (15 0^{\circ}) - tan (15 0^{\circ}) sec (21 0^{\circ})

arccos (- \frac{5}{3})

sin (2 \frac{3}{5})

sin (75.5 2^{\circ})

cot (99 0^{\circ})

What is the value of 16pi-16picos(1.5pi) ?
The value of 16pi-16picos(1.5pi) is 16pi-16picos((3pi)/2)