Sin x+cos x= cos x/1-tanx+sinx/1-cotx verify the identity with

Identity is verified.

Step-by-step explanation:

The given equation is

Now to prove this identity we will either convert left hand side of the equation  into the right hand side of the equation or the reverse of it.

Now we take right hand side of the identity \frac{cosx}{1-tanx}+\frac{sinx}{1-cotx} and simply solve it.

From the formula (a²-b²)=(a+b)(a-b)

Now we cancel the common terms from numerator and denominator.

which equal to the left hand side of the equation.

Therefore identity is verified.

Step-by-step explaintation

a2 + 10a = 24

10a + a2 = 24

10a + a2 = 24

Solving for variable 'a'.

Reorder the terms:

-24 + 10a + a2 = 24 + -24

Combine like terms: 24 + -24 = 0

-24 + 10a + a2 = 0

Factor a trinomial.

(-12 + -1a)(2 + -1a) = 0

Set the factor '(-12 + -1a)' equal to zero and attempt to solve:

Simplifying

-12 + -1a = 0

Solving

-12 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + -1a = 0 + 12

Combine like terms: -12 + 12 = 0

0 + -1a = 0 + 12

-1a = 0 + 12

Combine like terms: 0 + 12 = 12

-1a = 12

Divide each side by '-1'.

a = -12

Simplifying

a = -12