Answer:
is used to prove the given equation.
Step-by-step explanation:
We have given an equation:

We will consider right hand side first
tan x can be written as:

So, on substituting tan x in the left hand side of the given equation we get:

Cancel common term from denominator and numerator which is cosx we get

And we have an identity:


Hence, right hand side is equal to
.
Answer:
a. angles A and C
b. angles B and D
Step-by-step explanation:
When two lines are parallel, it implies the value of the angle between them is
. Thus the lines can not meet when extended continuously.
Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.
Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.
i.e < A = < C (alternate interior angle property)
<B = < D (alternate interior angle property)
We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.
Answer: 92
Step-by-step explanation:
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20