If 3 tan theta =4 , prove that 5sin alpha - 3 cos alpha / 3 sin alpha + 3 cis alpha = 11/21

We have been given that . We are asked to prove that .

First of all, we will solve for tangent of alpha as:

Now, we will divide left side of our given equation by as:

We know that , so we will get:

Upon substituting , we will get:

Hence proved.

correct answer:

a + bi

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .