Verify the identity.
sin 2 t / cos t = t - cost

Step-by-step explanation:

The question is incorrect. Here is the correct question.

Verify the identity sin²t / cos t = sect - cost

Given the identity sin²t / cos t = sect - cost, to verify means we are to check if both sides are equivalent. To do that we are going to start the proof from any sides of the equation and solve until we get to the function at the opposite side.

Starting with the left hand equation (LHS)

sin²t / cos t ...1

From trigonometry identity,  sin²t+ cos²t = 1

sin²t = 1- cos²t ... 2

Substituting eqn 2 into 1 we have:

= 1- cos²t/cost

= 1/cost -  cos²t/cost

= 1/cost - cost

Also from trig. identity, 1/cost = sect

On replacing this identity in the resulting equation we will have;

= sect - cost (which is equivalent to the RHS)

This shows that sin²t / cos t = sect - cost (Identity Proved!)

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.