Answer:
24/25
Step-by-step explanation:
Pythagorean triplet
sides of the triangle will be 7, 24, and 25
since 7 is the opposite side and 25 is hypotenuse, 24 is adjacent
so: cos = adj/hyp = 24/25
Answer:
[tex]\huge\boxed{\cos\theta=-\dfrac{24}{25}\ \vee\ \cos\theta=\dfrac{24}{25}}[/tex]
Step-by-step explanation:
Use:
[tex]\sin^2\theta+\cos^2\theta=1[/tex]
[tex]\sin\theta=\dfrac{7}{25}[/tex]
substitute:
[tex]\left(\dfrac{7}{25}\right)^2+\cos^2\theta=1\\\\\dfrac{49}{625}+\cos^2\theta=1\qquad|\text{subtract}\ \dfrac{49}{625}\ \text{from both sides}\\\\\cos^2\theta=1-\dfrac{49}{625}\\\\\cos^2\theta=\dfrac{625}{625}-\dfrac{49}{625}\\\\\cos^2\theta=\dfrac{576}{625}\to\cos\theta=\pm\sqrt{\dfrac{576}{625}}\\\\\cos\theta=\pm\dfrac{24}{25}[/tex]
