- #1
garytse86
- 311
- 0
There are two questions, I can solve the first one but not the second one with the same method.
find the exact value of cot pi/4 in surd form.
cot pi/4
= 1/ tan (pi/4)
= 1 / tan 45 ( in degrees)
= 1 / 1
= 1
which is the right answer according to the book.
However when I tried the next question - sec 5 * pi / 4, there are problems.
sec 5 * pi / 4
= 1 / cos (5 * pi / 4)
= 1 / cos (900/4) ( in degrees)
= 1/ cos(225)
and then I am stuck here. How do I express this in surd form?
The correct answer is minus(2^0.5)
and all I know is cos45 = 1/root2, cos30 = root3/2 and cos 60 = 0.5
Can someone help me get to the correct answer?
find the exact value of cot pi/4 in surd form.
cot pi/4
= 1/ tan (pi/4)
= 1 / tan 45 ( in degrees)
= 1 / 1
= 1
which is the right answer according to the book.
However when I tried the next question - sec 5 * pi / 4, there are problems.
sec 5 * pi / 4
= 1 / cos (5 * pi / 4)
= 1 / cos (900/4) ( in degrees)
= 1/ cos(225)
and then I am stuck here. How do I express this in surd form?
The correct answer is minus(2^0.5)
and all I know is cos45 = 1/root2, cos30 = root3/2 and cos 60 = 0.5
Can someone help me get to the correct answer?