PHYS 110: Required Problem Solving Strategy
1. This policy is a requirement for all multi-step homework problems marked with a
superscript of 1, i.e. 61. It is not a suggestion and not optional. Failure to follow this format
will result in no credit for t
r
Write the rst ve terms of the sequence To determine a specic term of a
whese general term is given as sequence, replace the n in the general term
a = cfw_n)cfw_ - n + 4). with the specic number of the required
term. Thus, a1, or the rst term, is
determi
circular function:
sin =y
cos =x
_
EX:-9 /2
sin=-1
cos=0
tan-is-undefinded
cot=0
sec-is-undefinded
csc=-1
_
sin 7.5048=.9397(make-sure-calculator-in-radians)
_
sin 3 /4= (2)/2
sin
=0
cos =-1
cos3 /4=- (2)/2
_
sin =7/25
cos -24/25
sin=y/r
cos=x/r
x=-24
y=
Find the following power. Write the answer in rectangular form. Do not use a calculator.
T4: T4: 1:5
cos+ts'1n
E 3
Use De Moivre's theorem, which states that ifrcfw_eos B + t sin E) is a complex number and n
is an,r real number, then [rcfw_cos B + t sin 3
Use a sum or diHere11ce formula to nd the exact value of the trigonometric mctien.
131:
sin
12
131:
Since E has been written as the sum eftwe angles, use the sum formula for sine.
sin(rr+)=siuucns+ cnsusiJrB
Replace c1 and E- with the values given earlie
Solve the equation on the interv
Solve the equation on the interval 0 S B": 21:.
6 sin 3 3 = 0
10 sin 3 5 = 0
_ _ 1t 51:
The sothion set 15 , .
6 6 First solve the equation for Sill BI.
(Type an exact answer, using 1:
10 sill BI 5 = 0
10 sin BI = 5 Add 5
Solve the equation over the interval [11, 21:).
sinxeosx=
4
Notice that sin 2a is not equal to 2 sin it.
Since siu 221'. = 2 sin 3. cos x, rewrite the equation to contain 2 sin 21'. cos x by multiplying both
sides by IL then applr the identity.
E
smxeosaT