Solve sin^{3}20^{circ}+sin^340^circ-sin^380^circ

$$\sin ^ { 3 } 20 ^ { \circ } + \sin ^ { 3 } 40 ^ { \circ } - \sin ^ { 3 } 80 ^ { \circ }$$

Evaluate

$$-0.64951905283832885656686494680839152634283662384$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.3420201433256687 ^ {3} + 0.6427876096865393 ^ {3} - 0.984807753012208 ^ {3}$$

Calculate 0.3420201433256687 to the power of 3 and get 0.040008756548141876495867827846034703499223434703.

$$0.040008756548141876495867827846034703499223434703+0.6427876096865393^{3}-0.984807753012208^{3}$$

Calculate 0.6427876096865393 to the power of 3 and get 0.265584356318794800423405239141564394956442853457.

$$0.040008756548141876495867827846034703499223434703+0.265584356318794800423405239141564394956442853457-0.984807753012208^{3}$$

Add 0.040008756548141876495867827846034703499223434703 and 0.265584356318794800423405239141564394956442853457 to get 0.30559311286693667691927306698759909845566628816.

$$0.30559311286693667691927306698759909845566628816-0.984807753012208^{3}$$

Calculate 0.984807753012208 to the power of 3 and get 0.955112165705265533486138013795990624798502912.

$$0.30559311286693667691927306698759909845566628816-0.955112165705265533486138013795990624798502912$$

Subtract 0.955112165705265533486138013795990624798502912 from 0.30559311286693667691927306698759909845566628816 to get -0.64951905283832885656686494680839152634283662384.

$$-0.64951905283832885656686494680839152634283662384$$