<span>tan(15) =
sin(15) / cos(15) =
sin(45 - 30) / cos(45 - 30) =
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)]
Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)]
[ √3/2 - 1/2 ] / [ √3/2 + 1/2]
(√3 - 1) / (√3 + 1)
(√3 - 1)^2 / (√3+1)(√3 - 1)
(√3 - 1)^2 / (3 - 1)
(3 - 2√3 +1) / 2
2 - √3
There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
Answer:
-7 degrees
Step-by-step explanation:
Make sure to double check, but I think this is the answer.
Answer:
see explanation
Step-by-step explanation:
product means to multiply, hence the product of 12 and k is
12 × k = 12k ( this is 84 means equal to 84 ), that is
12k = 84 ( divide both sides by 12 )
k = 7 ← is the solution
14) The sum of anything and its additive inverse is zero. (That is the definition of additive inverse.) The appropriate choice is ...
... A) equal to 0
Shhjujtitytjtutyrktjrjtjjtejhw rye
