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Question

If tan tan2212=x what is the value of tan135?



A

 

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B

 

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C

 

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D

 

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Solution

The correct option is D

 


tan135 = tan (90+45)

= -cot 45

= - 1tan45 

We expressed it in terms of tan45 because we can easily calculate tan45 since tan 22 12 is given . 

Tan 45 = tan 2 × 22 12 

            = 2tan22121tan22212 

            = 2x1x2 

tan 135 = 12x1x2 

            = x212x 

key steps / concepts : (1) Expressing tan 135^\circ in terms of tan45^\circ 


Mathematics

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