Solution
Solution
+1
Decimal Notation
Solution steps
Simplify:
Multiply fractions:
Multiply the numbers:
Cancel the common factor:
Multiply
Multiply fractions:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Rewrite using trig identities:
Rewrite using trig identities:
Write as
Use the Half Angle identity:
Use the Double Angle identity
Substitute with
Switch sides
Divide both sides by
Square root both sides
Choose the root sign according to the quadrant of :
Rewrite as
Apply the periodicity of :
Rewrite using trig identities:
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Simplify
Apply rule
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Apply the fraction rule:
Multiply the numbers:
Simplify
Apply radical rule: assuming
Factor the number:
Apply radical rule:
Simplify
Remove parentheses:
Multiply
Multiply fractions:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Apply the fraction rule:
Multiply the numbers:
Popular Examples
128+127.5sin((2pi)/(16)*11)178.09sin(65)128+127.5sin((2pi)/(16)*12)128+127.5sin((2pi)/(16)*10)sec(2)(pi/4)
Frequently Asked Questions (FAQ)
What is the value of 128+127.5sin((2pi)/(16)*13) ?
The value of 128+127.5sin((2pi)/(16)*13) is (512-255sqrt(2+\sqrt{2)})/4