Answer:
(1/2)(sin(105°) +sin(345°))
Step-by-step explanation:
The relevant identity is ...
sin(α)cos(β) = (1/2)(sin(α+β) +sin(α-β))
This falls out directly from the sum and difference formulas for sine.
Here, you have α = 45° and β = 60°, so the relevant expression is ...
sin(45°)cos(60°) = (1/2)(sin(45°+60°) +sin(45°-60°)) = (1/2(sin(105°) +sin(-15°))
Recognizing that -15° has the same trig function values that 345° has, this can be written ...
sin(45°)cos(60°) = (1/2)(sin(105°) +sin(345°))
Answer: 15
Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.
To find the least common multiple or <em>lcm</em> of 3 and 5, we begin by listing the first few multiples of each number.
<em>Multiples of 3</em>
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
We skipped 0 x 3 because our lcm can't be 0.
Next we list the multiples of 5.
<em>Multiples of 5</em>
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
Notice that 15 appears in both lists so
our least common denominator is 15.
Answer:
C
Step-by-step explanation:
1)Non- zeros (1,2,3,....) are always significant.
2)Captive zeros are significant too( zeros between non- zeros ).
3)Trailing zeros (zeros at the end) aren't significant always unless if there is a decimal point.
Such this question we have decimal point so we count them
Answer: 3
Explanation: Absolute value means <em>distance from zero</em> on a number line. So far the absolute value of 3, we know that 3 is 3 units from zero on a number line so the absolute value of 3 is 3.
Answer:
That is the meaning of the algebraic expression
