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Question

Find the value of the following

(i) sin60cos30+cos60sin30

(ii) cos30cos60sin30sin60

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Solution

(i) Given sin60cos30+cos60sin30
sin60cos30+cos60sin30

=(32)×(32)+(12)×(12)

=34+14

=3+14

=44=1

(ii) Given cos30cos60sin30sin60

=(34)(34)

=0

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