What is simplify-0.4asin(0.4(-6)) ?

The solution to simplify-0.4asin(0.4(-6)) is 0.27018…a

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simplify-0.4asin(0.4(-6))

simplify

- 0.4 a sin (0.4 (- 6))

0.27018 \dots a

Solution steps

- 0.4 a sin (0.4 (- 6))

Remove parentheses:

(- a) = - a

= - 0.4 a sin (- 0.4 \cdot 6)

Multiply the numbers:

0.4 \cdot 6 = 2.4

= - 0.4 sin (- 2.4) a

Use the negative angle identity:

sin (- x) = - sin (x)

= - 0.4 a (- sin (2.4))

Apply rule

- (- a) = a

= 0.4 a sin (2.4)

Simplify

sin (2.4) : 0.67546 \dots

= 0.4 \cdot 0.67546 \dots a

Multiply the numbers:

0.4 \cdot 0.67546 \dots = 0.27018 \dots

= 0.27018 \dots a

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What is simplify-0.4asin(0.4(-6)) ?
The solution to simplify-0.4asin(0.4(-6)) is 0.27018…a