Question

Sin inverse (sin x + cos x/ root 2
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Answer 1

Answer:

Expert Answer:

begin mathsize 16px style sin to the power of negative 1 end exponent open parentheses fraction numerator sin space straight x plus cos space straight x over denominator square root of 2 end fraction close parentheses

sin to the power of negative 1 end exponent open parentheses fraction numerator sin space straight x over denominator square root of 2 end fraction plus fraction numerator cos space straight x over denominator square root of 2 end fraction close parentheses

equals sin to the power of negative 1 end exponent open parentheses sin space straight x space cos space 45 plus sin space 45 space cos space straight x close parentheses

equals sin to the power of negative 1 end exponent open parentheses sin space open parentheses straight x plus 45 close parentheses close parentheses

equals straight x plus 45

end style