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Question

Using trigonometric tables, find the value of sin6442 + cos4220tan3640 + cot6320


A

1.31

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B

1.89

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C

1.013

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D

1.80

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Solution

The correct option is A

1.31


For numerator we have

sin6442 = 0.9041

4220 = 4218 + 2

Now, cos4218 = 0.7396

Mean difference for 2 = 0.0004 [To be subtracted]

So, cos4218 = 0.7392

Hence, sin6442 + cos4220 = 0.9041 + 0.7396 = 1.6433

For denominator we have,

3640 = 3636 + 4

tan3636=0.7427

Mean difference for 4 = 0.0018

From trigonometric table, we have tan3640 = 0.7445

6320 = 6318 + 2

Now, cot6318 = 0.5029

Mean difference for 2’ = 0.0007 [To be subtracted]

cot6320 =0.5022

So, tan3640+cot6320=1.2467

sin6442 + cos4220tan3640 + cot6320 = 1.64331.2467 = 1.318


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