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Question

Evaluate : 23(cos430osin445o)3(sin260osec245o)+14cot230o

A
16324
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B
12324
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C
11324
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D
18324
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Solution

The correct option is C 11324
Given
Now,
23(cos4300sin4450)

=23(32)41

=23(9416)

524
Now,
3(sin2600sec2450)

=3(32)2(2)2

=3(342)

=3(54)

(154)
Now,
=14cot2300

=14(3)2

=34

23(cos430sin445)+3(sin260sec245)+14cot230

=524+154+34

5+90+1824

11324


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