The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{IV}IVstart text, I, V, end text, and \sin(\theta_1)=-\dfrac{24}{25}sin(θ 1 ​ )=− 25 24 ​ sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, minus, start fraction, 24, divided by, 25, end fraction . What is the value of \cos(\theta_1)cos(θ 1 ​ )cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis? Express your answer exactly. \cos(\theta_1)=cos(θ 1 ​ )