#1. check out sin(π - π/3)
#2. because 1/0 is also undefined.
#3.
just factor the function
(sec+6)(sec+2)
convert to cosines, then factor to get
(6cos+1)(2cos+1)=0
#4. 2π+π/6,2π-π/6
and all multiples of 2π more or less.
Trigonometry Questions
1. Using a compound angle formula, demonstrate that sin2π/3 is equivalent to sin π/3
2. The expression sinπ is equal to zero, while the expression 1/cscπ is undefined. Why is the identity sin(theta)=1/csc(theta) still an identity?
3. Name two strategies that could be used to solve the equation sec^2x + 8secx + 12 = 0. Why do these strategies make the most sense?
4. A linear trigonometric equations involving cosx has a solution of π/6. Name three other possible solutions. (can you show how you got them please?)
Thanks in advance!
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1 answer