What is the value of sin(pi/2 3) ?

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sin(pi/2 3)

sin (\frac{π}{2} 3)

- 1

Solution steps

sin (\frac{π}{2} \cdot 3)

Simplify:

\frac{π}{2} \cdot 3 = \frac{3 π}{2}

= sin (\frac{3 π}{2})

Rewrite using trig identities:

sin (π) cos (\frac{π}{2}) + cos (π) sin (\frac{π}{2})

= sin (π) cos (\frac{π}{2}) + cos (π) sin (\frac{π}{2})

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= 0 \cdot 0 + (- 1) \cdot 1

Simplify

= - 1

arccos (1.3)

sin (4 8^{\circ}) (15.3)

sec (6 5^{\circ})

sin (3 0^{\circ} + 6 0^{\circ})

tan (\frac{8}{6})