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4 votes
4 votes
If sin0= 7/25, find cos0

User Anatoliy Kim
by
2.4k points

2 Answers

8 votes
8 votes

Answer:


\huge\boxed{\cos\theta=-(24)/(25)\ \vee\ \cos\theta=(24)/(25)}

Explanation:

Use:


\sin^2\theta+\cos^2\theta=1


\sin\theta=(7)/(25)

substitute:


\left((7)/(25)\right)^2+\cos^2\theta=1\\\\(49)/(625)+\cos^2\theta=1\qquad|\text{subtract}\ (49)/(625)\ \text{from both sides}\\\\\cos^2\theta=1-(49)/(625)\\\\\cos^2\theta=(625)/(625)-(49)/(625)\\\\\cos^2\theta=(576)/(625)\to\cos\theta=\pm\sqrt{(576)/(625)}\\\\\cos\theta=\pm(24)/(25)

User Methodin
by
2.7k points
19 votes
19 votes

Answer:

24/25

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

User Wisequark
by
3.1k points