Prove the identity. 5 tan(x) - 5 tan(y)
5 sin(x - y)
cos(x) cos(y)
Use a Reciprocal Identity, and then rewrite as a single rational expression.
5 tan(x) - 5 tan(y)
X_
5 sin(y)
cos(y)
cos(x)
cos(x) cos(y)
Use an Addition or Subtraction Formula to simplify.

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step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5