Question

For what values is the statement true? sin(x+20)°=cos(y−10)°

Answer 1

Explanation:

The word "sine" (Latin "sinus") comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

Answer 2

`x = 10 \: and \: y \: = 70.`

Explanation:

`if \: from \: the \: sine - cosine \: rule : \\ \sin( \beta ) = \cos(90 - \beta ) \\ \cos( \beta ) = \sin(90 - \beta ) \\ then \: if : \\ sin(x+20)°=cos(y−10)° \\ let \: x + y = 80 \\ if \: x = 10. \\ y = 70. \\`