What is the value of 1/2 sin(2arcsin(1)) ?

The value of 1/2 sin(2arcsin(1)) is 0

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1/2 sin(2arcsin(1))

\frac{1}{2} sin (2 arcsin (1))

0

Solution steps

\frac{1}{2} sin (2 arcsin (1))

Rewrite using trig identities:

sin (2 arcsin (1)) = 0

sin (2 arcsin (1))

Rewrite using trig identities:

2 sin (arcsin (1)) cos (arcsin (1))

sin (2 arcsin (1))

Use the Double Angle identity:

sin (2 x) = 2 sin (x) cos (x)

= 2 sin (arcsin (1)) cos (arcsin (1))

= 2 sin (arcsin (1)) cos (arcsin (1))

Rewrite using trig identities:

sin (arcsin (1)) = 1

Use the following identity:

sin (arcsin (x)) = x

= 1

Rewrite using trig identities:

cos (arcsin (1)) = 0

cos (arcsin (1))

Rewrite using trig identities:

cos (arcsin (1)) = 1 - 1^{2}

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - 1^{2}

= 1 - 1^{2}

Simplify

= 0

= 2 \cdot 1 \cdot 0

Simplify

= 0

= \frac{1}{2} \cdot 0

Simplify

= 0

cot (\frac{2}{1})

arctan (\frac{60}{100})

6371 \cdot cos (39.5857100000000 \dots^{\circ}) \cdot cos (- 104.9452200000000 \dots^{\circ})

sec^{2} (4 5^{\circ}) - tan (4 5^{\circ})

8 sin (6 5^{\circ})

What is the value of 1/2 sin(2arcsin(1)) ?
The value of 1/2 sin(2arcsin(1)) is 0