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Contents
Quiz
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Quiz
  The
diagram shows the plan of a rectangular table, in a corner of a room. Given
that the table has length 1.5m and width 0.8m, and that <POS = <STR = 90o
and <OPS = q,
where q
is a variable. Express OT in terms of q
and then in the form R sin (q
+ a)
where 0o < a
< 90o
and R is a positive constant.
Hence,
find the value of q
for which
(i)
OT has maximum length
(ii)
OT = 1.2m
Prove the
identity
Given that show
that 5 sin (A - B) = 3 sin (A + B)
Hence,
without the use of a calculator,
(i)
show that tanA cotB = 4
(ii)
given further that sin A = 4/5 and that A is acute, find the value of tan B.
Prove the
identity
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