lewis who is a long distance runner , runs at an average speed of 6miles per hour. three hours after lewis leaves your house , y
1 answer:
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Given:
Consider the given expression is:
To find:
The simplified form of the given expression.
Solution:
We have,
Using distributive property, it can be written as:
Therefore, the correct option is A.
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) = = 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven