Question

How to solve tan(a-b) given sin(a) and sin(b) in decimal form pre calculus

Answer 1

To solve tan(a-b) given sin(a) and sin(b) in decimal form in pre calculus, you can use the identity: tan(a-b) = (tan(a) - tan(b)) / (1 + tan(a) * tan(b)). First, find the values for tan(a) and tan(b) using the given sin(a) and sin(b) by using the identity: tan(x) = sin(x) / cos(x). Then substitute these values into the formula for tan(a-b).

Step-by-step explanation:

To solve tan(a-b) given sin(a) and sin(b) in decimal form in pre calculus, you can use the identity:

tan(a-b) = (tan(a) - tan(b)) / (1 + tan(a) * tan(b))

First, find the values for tan(a) and tan(b) using the given sin(a) and sin(b) by using the identity:

tan(x) = sin(x) / cos(x)

Then substitute these values into the formula for tan(a-b).