Show that the equation is an identity.sin(2 sin-1 x) = 2x

What will be an ideal response?


sin 2? = 2 sin ? cos ? is the Double-Angle Identity
Let ? = sin-1 x. Then sin(2 sin-1 x) = 2 sin( sin-1 x) cos (sin-1 x)
   = 2 x 
   = 2x

Mathematics

You might also like to view...

Determine whether the activity can be used to illustrate the given property.Making a pot of coffee, brushing your teeth, and taking a shower.Does the associative property hold?

A. Yes B. No

Mathematics

Solve the problem.Suppose G is a graph with 51 vertices and 50 edges. Then

A. G cannot have any circuits. B. G must be a tree. C. G is either a tree or is not connected. D. G cannot have more than one path joining any two vertices. E. none of these

Mathematics

Solve.Annie borrows $3700 and agrees to pay it back in 5 years. If the simple interest rate is 3%, find the total amount she pays back.

A. $5550 B. $9250 C. $555 D. $4255

Mathematics

Solve the equation.x - 7 = 16

A. -23  B. 23  C. 9  D. -9

Mathematics