Trigonometry - verify identity:

cos (x - y) / sin (x + y) = 1 + cotxcoty / cotx + coty

The proof is given below.

Step-by-step explanation:

Given:

The identity to verify is given as:

Consider the left hand side of the identity.

Dividing both numerator and denominator by . This gives,

We have used the identity above.

Therefore,

Therefore, LHS = RHS and hence proved.

40 minutes

step-by-step explanation:

add the time and multiply by 2

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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