Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
2+1
Alternative Form
≈2.414214
Evaluate
tan(3×8π)
Multiply the numbers
tan(83π)
Use tan(t)=1+cos(2t)sin(2t) to transform the expression
1+cos(43π)sin(43π)
Add the terms
More Steps
Evaluate
1+cos(43π)
Calculate the trigonometric value
More Steps
Evaluate
cos(43π)
Rewrite the expression
−cos(4π)
Calculate
−22
1−22
Reduce fractions to a common denominator
22−22
Write all numerators above the common denominator
22−2
22−2sin(43π)
Multiply by the reciprocal
sin(43π)×2−22
Multiply the terms
2−2sin(43π)×2
Multiply the terms
More Steps
Evaluate
sin(43π)×2
Calculate the trigonometric value
22×2
Reduce the numbers
2×1
Simplify
2
2−22
Multiply by the Conjugate
(2−2)(2+2)2×(2+2)
Multiply the numbers
More Steps
Rewrite the expression
(2−2)(2+2)
Use (a−b)(a+b)=a2−b2 to simplify the product
22−(2)2
Evaluate the power
4−(2)2
Reduce the index of the radical and exponent with 2
4−2
Subtract the numbers
2
22×(2+2)
Multiply the numbers
More Steps
Evaluate
2×(2+2)
Apply the distributive property
2×2+2×2
Multiply the numbers
22+2×2
When a square root of an expression is multiplied by itself,the result is that expression
22+2
222+2
Rewrite the expression
22(2+1)
Solution
2+1
Alternative Form
≈2.414214
Show Solution
