Step-by-step explanation:
3 tan 2x - 4 tan 3x = tan² 3x * tan 2x
3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x
= tan 3x (1 + tan 3x * tan 2x)
3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x
3 * (- tan x) = tan 3x
-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)
3 - tan² x = - 3 + 9 tan² x
tan x = + √3 /√5 or - √3/√5
Answer:
16/52
Step-by-step explanation:
A 4 or a club4/52 + 13/52 - 1/52 = 16/52 = 4/13f. A 6 or a spade4/52 + 13/52 - 1/52 = 16/52 = 4/13g. A heart or a club13/52 + 13/52 = 26/52 = 1/2h.
Answer:
5 days
Step-by-step explanation:
If you write it out it will look like this 8 1/2÷1 7/10
since you can't divide mixed fractions very easily, you make them improper fractions. 8 1/2 -> 17/2 1 7/10 -> 17/10
So it looks like 17/2÷17/10
because of maths you have to turn 17/10 into 10/17
And when you do the maths (multiply it together) you get 5
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(30°) = 5/x
Solving for x, we get ...
x = 5/sin(30) = 5/0.5
x = 10
_____
It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.
