What is 3sin(pix-pi/5) ?

The solution to 3sin(pix-pi/5) is (3((sqrt(5)+1)sin(pix)-sqrt(2)sqrt(5-\sqrt{5)}cos(pix)))/4

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simplify 3sin(pix-pi/5)

simplify

3 sin (π x - \frac{π}{5})

\frac{3 ( ( 5 + 1 ) sin ( π x ) - 2 5 - 5 cos ( π x ) )}{4}

Solution steps

3 sin (π x - \frac{π}{5})

Rewrite using trig identities

= 3 \cdot \frac{( 5 + 1 ) sin ( π x ) - 2 5 - 5 cos ( π x )}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( ( 5 + 1 ) sin ( π x ) - 2 5 - 5 cos ( π x ) ) \cdot 3}{4}

tan (arcsin (\frac{2}{3 x}))

41 cos (0.215 x - 0.675)

2 tan (x) csc (2 x) - tan^{2} (x)

sin (arctan (\frac{z}{y}))

cos^{2} (4 x + \frac{π}{3})

What is 3sin(pix-pi/5) ?
The solution to 3sin(pix-pi/5) is (3((sqrt(5)+1)sin(pix)-sqrt(2)sqrt(5-\sqrt{5)}cos(pix)))/4