With some simplification,
cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3
becomes
-4 cos⁻¹(x) = π
or
cos⁻¹(x) = -π/4
However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.
1/4x - 2 = 3/8
First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.

Second, now we can continue solving for our variable (x). Let's add 2 to each side.

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)

Fourth, continue trying to get the variable by itself. Multiply each side by 4.

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8
Since 4 is our first common factor, it is considered our GCF.
Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.

Answer in fraction form:

Answer in decimal form:
OK, let's try with no figure. We have an isosceles triangle sides s,s, and b.
Opposite b is angle t.
Draw the altitude h to bisect t. We have two right triangles, legs b/2 and h, hypotenuse s. The angle opposite b/2 is t/2 so
sin(t/2) = (b/2)/s = b/2s
So we arrived at the first part,
b = 2s sin(t/2)
The area of a triangle with sides s,s and included angle t is
A = (1/2) s² sin t
Answer:
6,10,14,18,22
Step-by-step explanation:
4n+2
Let n=1 4(1)+2 = 4+2 = 6
Let n=2 4(2)+2 = 8+2 = 10
Let n=3 4(3)+2 = 12+2 = 14
Let n=4 4(4)+2 = 16+2 = 18
Let n=5 4(5)+2 = 20+2 = 22