What is the value of (cos(270))^{sin(90)} ?

The value of (cos(270))^{sin(90)} is 0

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(cos(270))^{sin(90)}

(cos (27 0^{\circ}))^{s i n (9 0^{\circ})}

0

Solution steps

(cos (27 0^{\circ}))^{s i n (9 0^{\circ})}

= cos^{s i n (9 0^{\circ})} (27 0^{\circ})

Rewrite using trig identities:

cos (27 0^{\circ}) = 1 - 2 sin^{2} (13 5^{\circ})

= (1 - 2 sin^{2} (13 5^{\circ}))^{s i n (9 0^{\circ})}

Use the following trivial identity:

sin (13 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

sin (9 0^{\circ}) = 1

= 1 - 2 (\frac{2}{2})^{2}^{1}

Simplify

1 - 2 (\frac{2}{2})^{2}^{1} : 0

= 0

sin (π + \frac{π}{6})

sin (\frac{π ^{2}}{3})

cos (arctan (- \frac{4}{3}))

80 cos (0)

sin (2 \frac{2 π}{3})

What is the value of (cos(270))^{sin(90)} ?
The value of (cos(270))^{sin(90)} is 0