Answer:
cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]
sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]
Step-by-step explanation:
First find the opposite side of angle θ by using the Pythagorean Theorem:
10² - 7² = (opposite side)²
100 - 49 = 51 => opposite side = √51
Use SohCahToa to find the values:
cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)
sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)
Hope this helps!
