What is (10sin(x))(10cos(x)) ?

The solution to (10sin(x))(10cos(x)) is 50sin(2x)

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simplify (10sin(x))(10cos(x))

simplify

(10 sin (x)) (10 cos (x))

50 sin (2 x)

Solution steps

(10 sin (x)) (10 cos (x))

Remove parentheses:

(a) = a

= 10 sin (x) \cdot 10 cos (x)

Multiply the numbers:

10 \cdot 10 = 100

= 100 sin (x) cos (x)

Rewrite using trig identities

= 50 sin (2 x)

- sin (\frac{π}{2} - x)

cos (a + 7 5^{\circ})

csc (2 π - x)

sin (\frac{π}{2} - α)

sin (nπ) + sin (nπ)

What is (10sin(x))(10cos(x)) ?
The solution to (10sin(x))(10cos(x)) is 50sin(2x)