Roboguru

Nilai dari adalah ...

Nilai dari sin space 105 to the power of 0 space plus space cos space 15 to the power of 0 space adalah ...

  1. 1 half open parentheses negative square root of 6 minus square root of 2 close parentheses

  2. 1 half open parentheses square root of 3 minus square root of 2 close parentheses

  3. 1 half open parentheses square root of 6 minus square root of 2 close parentheses

  4. 1 half open parentheses square root of 3 minus square root of 2 close parentheses

  5. 1 half open parentheses square root of 6 plus square root of 2 close parentheses

Jawaban:

sin space 105 degree plus cos 15 degree space  equals space sin left parenthesis 60 degree space plus space 45 degree right parenthesis space plus space cos left parenthesis 45 degree space minus space 30 degree right parenthesis space  equals space left parenthesis sin space 60 degree space cos space 45 degree space plus cos space 60 degree space sin space 45 degree right parenthesis space plus space left parenthesis cos space 45 degree space cos space 30 degree space times plus sin space 45 degree space sin space 30 degree right parenthesis  equals open parentheses 1 half square root of 3.1 half square root of 2 plus 1 half.1 half square root of 2 close parentheses plus open parentheses 1 half square root of 2.1 half square root of 3 plus 1 half square root of 2.1 half close parentheses  equals open parentheses 1 fourth square root of 6 plus 1 fourth square root of 2 close parentheses plus open parentheses 1 fourth square root of 6 plus 1 half square root of 2 close parentheses  equals open parentheses 1 fourth square root of 6 plus 1 fourth square root of 6 close parentheses plus open parentheses 1 fourth square root of 2 plus 1 fourth square root of 2 close parentheses  equals open parentheses 1 half square root of 6 close parentheses plus open parentheses 1 half square root of 2 close parentheses  equals 1 half left parenthesis square root of 6 plus square root of 2 right parenthesis

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