In this case or scenario,
the double-angle identity that should be used is the one for cosine. <span>
In totality, we shall need the following three trigonometric
identities to end up with the equality:
<span>1. cos (2a) = cos² (a) - sin² (a)
2. sin² (a) + cos² (a) = 1
<span>3. tan² (a) + 1 = sec²
(a)
<span>Using identities 1 and 2 on the left-hand side of the
equation, we get the following:</span>
1 + cos (2a) = 1 + cos² (a) - sin² (a) = 2 cos² (a) </span></span></span>
<span>
<span>Recalling that cos² (a) = 1 / sec² (a) and applying identity
3, we find the following:</span>
2 cos² (a) = 2 / sec² (a) = 2 / (1 + tan² (a)) </span>
Therefore giving us:
<span>2 cos² (a) = 2 / (1 +
tan² (a))</span>
The "parent function" is y = (log to the base 2 of) x
The domain of this function is (0, infinity) (all real numbers greater than zero).
The range of this function is the same as above.
If you replace "x" with "x+1" in the parent function, the associated graph will look the same as that of the given function, EXCEPT that it will be translated by 1 unit to the left.
After this has happened, that "-3" will shift the entire new graph downward by 3 units.
Answer:
22/3
Step-by-step explanation:
When there are no special grouping symbols, math problems are solved from left to right. Although there are other important rules about the order in which you do the operations (addition/subtraction/multiplication/division) in a math expression or equation, this lesson will focus on grouping symbols. The rest of the order of operations rules will be explained in the Determining Order of Operations lesson. To help prevent confusion as you learn how to use the grouping symbols, this lesson will only use addition and subtraction.
Answer:
A
Step-by-step explanation:
