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Calculate the Value of Cosalpha If Sinalpha =-(24)/(25) and Alpha in (pi ;3pi /2):

Вопрос

Calculate the value of cosalpha if sinalpha =-(24)/(25) and alpha in (pi ;3pi /2):

Решения

4.1 (231 Голоса)
Одетта
Экспертная проверка
мастер · Репетитор 5 лет

Ответ

To calculate the value of given that and , we can use the Pythagorean identity: Substituting the given value of , we have: Simplifying the equation, we get: Taking the square root of both sides, we have: Since , is negative. Therefore, the value of is: