1.

Sin inverse {cos (Sin inverse root 3 by 2)}​

Answer»

Answer:

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Explanation:

Consider an equilateral triangle with SIDES of length

2

, bisected to FORM two right angled triangles:

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REMEMBERING that

sin

=

opposite

hypotenuse

, we can see that:

sin

(

π

3

)

=

3

2

Since

3

2

>

0

and

π

3

is in Q1, we can deduce:

sin

1

(

3

2

)

=

π

3

From the same diagram, remembering

COS

=

adjacent

hypotenuse

, we can see that:

cos

(

π

3

)

=

1

2

So:

cos

(

sin

1

(

3

2

)

)

=

cos

(

π

3

)

=

1

2



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