Y= -1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2 - ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) =
and the exact values
tan45° = 1 , tan60° =
, then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= ![\frac{tan60-tan45}{1+tan60tan45}](https://tex.z-dn.net/?f=%5Cfrac%7Btan60-tan45%7D%7B1%2Btan60tan45%7D)
=
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 +
is 1 -
=
← expand numerator/denominator using FOIL
= ![\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D-3-1%2B%5Csqrt%7B3%7D%20%20%7D%7B1-3%7D)
= ![\frac{-4+2\sqrt{3} }{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%2B2%5Csqrt%7B3%7D%20%7D%7B-2%7D)
=
+ ![\frac{2\sqrt{3} }{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B-2%7D)
= 2 - ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Answer:
- 15
Step-by-step explanation:
![\frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20a%20%3D%20%20-%205%20%5C%5C%20%20%5C%5C%20a%20%3D%20%20-%205%20%5Ctimes%203%20%5C%5C%20%20%5C%5C%20a%20%3D%20%20-%2015)
Answer:
Step-by-step explanation:
lol
Answer:
300
Step-by-step explanation:
2*60 for 1 hr
120*2 to find two hrs
2*30 for 1/2 hr
add