Solve left(sin(20)right)^2+sin(20)cos(50)+left(cos(50)right)^2

$${ \left( \sin ( 20 ) \right) }^{ 2 } + \sin ( 20 ) \cos ( 50 ) + { \left( \cos ( 50 ) \right) }^{ 2 }$$

Evaluate

$$0.75000000000000007607309074380883$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.3420201433256687 ^ {2} + 0.3420201433256687 \cdot 0.6427876096865394 + 0.6427876096865394 ^ {2}$$

Calculate 0.3420201433256687 to the power of 2 and get 0.11697777844051095979530830215969.

$$0.11697777844051095979530830215969+0.3420201433256687\times 0.6427876096865394+0.6427876096865394^{2}$$

Multiply 0.3420201433256687 and 0.6427876096865394 to get 0.21984631039295419598585689389678.

$$0.11697777844051095979530830215969+0.21984631039295419598585689389678+0.6427876096865394^{2}$$

Add 0.11697777844051095979530830215969 and 0.21984631039295419598585689389678 to get 0.33682408883346515578116519605647.

$$0.33682408883346515578116519605647+0.6427876096865394^{2}$$

Calculate 0.6427876096865394 to the power of 2 and get 0.41317591116653492029192554775236.

$$0.33682408883346515578116519605647+0.41317591116653492029192554775236$$

Add 0.33682408883346515578116519605647 and 0.41317591116653492029192554775236 to get 0.75000000000000007607309074380883.

$$0.75000000000000007607309074380883$$