Question
Calculate the value
2−3
Alternative Form
≈0.267949
Evaluate
tan(15∘)
Use tan(t)=1+cos(2t)sin(2t) to transform the expression
1+cos(30∘)sin(30∘)
Add the terms
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Evaluate
1+cos(30∘)
Calculate the trigonometric value
1+23
Reduce fractions to a common denominator
22+23
Add or subtract the terms
22+3
22+3sin(30∘)
Multiply by the reciprocal
sin(30∘)×2+32
Multiply the terms
2+3sin(30∘)×2
Multiply the terms
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Evaluate
sin(30∘)×2
Calculate the trigonometric value
21×2
Reduce the numbers
1
2+31
Multiply by the Conjugate
(2+3)(2−3)2−3
Multiply the numbers
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Rewrite the expression
(2+3)(2−3)
Use (a+b)(a−b)=a2−b2 to simplify the product
22−(3)2
Evaluate the power
4−(3)2
Reduce the index of the radical and exponent with 2
4−3
Subtract the numbers
1
12−3
Solution
2−3
Alternative Form
≈0.267949
Show Solution
![solution-arrow](data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTciIGhlaWdodD0iMTYiIHZpZXdCb3g9IjAgMCAxNyAxNiIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPHBhdGggZD0iTTguNSAyLjY2Nzk3TDguNSAxMi42NjgiIHN0cm9rZT0id2hpdGUiIHN0cm9rZS13aWR0aD0iMS41IiBzdHJva2UtbGluZWNhcD0icm91bmQiIHN0cm9rZS1saW5lam9pbj0icm91bmQiLz4KPHBhdGggZD0iTTEyLjUgOC42Njc5N0w4LjUgMTIuNjY4TDQuNSA4LjY2Nzk3IiBzdHJva2U9IndoaXRlIiBzdHJva2Utd2lkdGg9IjEuNSIgc3Ryb2tlLWxpbmVjYXA9InJvdW5kIiBzdHJva2UtbGluZWpvaW49InJvdW5kIi8+Cjwvc3ZnPgo=)