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- May 2, 2007
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Hey guys,
This question is straight out of Top Score's Math Section.
I understand how they got everything except for the (sec 45) part...
Question:
(sin 30)(sec 45)/(tan 0)+(csc 30) = ?
Answer:
sqrt2/4
Explanation:
sin 30 = 1/2
sec 45 = 1/cos 45 = sqrt2
tan 0 = 0
csc 30 = 1/sin 30 = 2
plugging it in and simplify, yields sqrt2/4
I get the same values for all the terms except for sec45.
I get sec45 = 2/sqrt2
because since cos=adjacent/hypot, sec=hypot/adjacent
and the coordinates for 45 degrees is (sqrt2/2 , sqrt2/2)
and since sec=hypot/adjacent
sec45 should equal, 2/sqrt2
hence I get the answer, 1/2sqrt2
I applied the same logic for all the other terms, and it all worked out fine....
Any help is greatly appreciated.
Thanks.
Sorry if the explanation is confusing....there was a lot I needed to say
This question is straight out of Top Score's Math Section.
I understand how they got everything except for the (sec 45) part...
Question:
(sin 30)(sec 45)/(tan 0)+(csc 30) = ?
Answer:
sqrt2/4
Explanation:
sin 30 = 1/2
sec 45 = 1/cos 45 = sqrt2
tan 0 = 0
csc 30 = 1/sin 30 = 2
plugging it in and simplify, yields sqrt2/4
I get the same values for all the terms except for sec45.
I get sec45 = 2/sqrt2
because since cos=adjacent/hypot, sec=hypot/adjacent
and the coordinates for 45 degrees is (sqrt2/2 , sqrt2/2)
and since sec=hypot/adjacent
sec45 should equal, 2/sqrt2
hence I get the answer, 1/2sqrt2
I applied the same logic for all the other terms, and it all worked out fine....
Any help is greatly appreciated.
Thanks.
Sorry if the explanation is confusing....there was a lot I needed to say