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If tan theta= 15/8, then:A. sec theta = 17/8B. cos theta = 15/17C. cot theta = 8/15D. csc theta = 17...
4 months ago
Q:
If tan theta= 15/8, then:A. sec theta = 17/8B. cos theta = 15/17C. cot theta = 8/15D. csc theta = 17/15There's potentially more than one answer.,
Accepted Solution
A:
Hello there!
The only thing we have to do here is remember our trigonometric functions!
sin=y/r
cos=x/r
tan=y/x
sec=r/x
csc=r/y
cot=x/y
Knowing that tanᎾ=15/8, we know that y=15 and x=8
Now we need to look at the answer choices and see if they are correct.
A. secᎾ=17/8
Since secᎾ=r/x and r=17 and x=8, this is correct.
B. cosᎾ=15/17
Since cosᎾ=x/r and x=8 and r=17, this is wrong.
C. cotᎾ=8/15
Since cotᎾ=x/y and x=8 and y=15, this is also correct!
D. cscᎾ=17/15
Since cscᎾ=r/y and r=17 and y=15, this is right too.
I really hope this helps!
Best wishes :)