Solution
Solution
+1
Decimal Notation
Solution steps
Rewrite using trig identities:
Use the Double Angle identity:
Simplify:
Multiply fractions:
Multiply the numbers:
Rewrite using trig identities:
Use the following identity:
Use the following property:
Apply the periodicity of :
Simplify:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Add similar elements:
Rewrite using trig identities:
Rewrite using trig identities:
Use the basic trigonometric identity:
Simplify:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Add similar elements:
Rewrite using trig identities:
Show that:
Use the following product to sum identity:
Show that:
Use the Double Angle identity:
Divide both sides by
Use the following identity:
Divide both sides by
Divide both sides by
Substitute
Show that:
Use the factorization rule:
Refine
Show that:
Use the Double Angle identity:
Divide both sides by
Use the following identity:
Divide both sides by
Divide both sides by
Substitute
Substitute
Refine
Add to both sides
Refine
Take the square root of both sides
cannot be negativecannot be negative
Add the following equations
Refine
Square both sides
Use the following identity:
Substitute
Refine
Take the square root of both sides
cannot be negative
Refine
Apply radical rule: assuming
Apply the fraction rule:
Rationalize
Multiply by the conjugate
Apply exponent rule:
Add similar elements:
Multiply fractions:
Cancel the common factor:
Add the numbers:
Popular Examples
Frequently Asked Questions (FAQ)
What is the value of 2sin((3pi)/5)cos((3pi)/5) ?
The value of 2sin((3pi)/5)cos((3pi)/5) is -(sqrt(2)sqrt(5-\sqrt{5)})/4