Anasayfa
/
Matematik
/
cosx=-(5)/(13),xin [(pi )/(2),pi ]

Soru

cosx=-(5)/(13),xin [(pi )/(2),pi ]

Çözüm

4.7 (321 Oylar)
Alparslan
Uzman doğrulaması
Usta · 5 yıl öğretmeni

Cevap

To solve the equation in the interval , we need to find the value of that satisfies this equation.The cosine function is negative in the second quadrant, which corresponds to the interval . Therefore, we can use the inverse cosine function to find the value of .The inverse cosine function, denoted as , is defined as the angle whose cosine is a given value. In this case, we have: Using a calculator or a trigonometric table, we can find the value of to be approximately .Therefore, the solution to the equation in the interval is: