Prove that:  from Mathematics Trigonometric Functions

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 Multiple Choice QuestionsShort Answer Type

261.

Find the values of:

space space sin space 105 degree comma space cos space 105 degree comma space tan space 105 degree.

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262.

Prove that: sin space 105 degree space plus space cos space 105 degree space equals space fraction numerator 1 over denominator square root of 2 end fraction


Solution not provided.


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263.

Show that:   space space tan open parentheses straight pi over 12 close parentheses plus cot open parentheses straight pi over 12 close parentheses equals 4

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264.

Write down the values of:

cos space 72 degree space cos space 12 degree space plus space sin space 72 degree space sin space 12 degree


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265.

Write down the values of:

sin space 72 degree space cos space 18 degree space plus space cos space 72 degree space sin space 18 degree




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266.

Show that:

fraction numerator cos 11 degree minus sin 11 degree over denominator cos 11 degree plus sin 11 degree end fraction space equals space tan space 34 degree

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267.

Show that:

fraction numerator cos 15 degree plus sin 15 degree over denominator cos 15 degree minus sin 15 degree end fraction space equals space square root of 3


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268.

Show that:

sin open parentheses fraction numerator 2 straight pi over denominator 9 end fraction plus straight theta close parentheses space cos open parentheses straight pi over 18 plus straight theta close parentheses minus cos open parentheses fraction numerator 2 straight pi over denominator 9 end fraction plus straight theta close parentheses space sin open parentheses straight pi over 18 plus straight theta close parentheses space equals space 1 half




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269.

Show that:

sin left parenthesis 2 straight n plus 3 right parenthesis straight x space sin left parenthesis 2 straight n plus 1 right parenthesis space straight x space plus space cos space left parenthesis 2 straight n plus 3 right parenthesis straight x space cos left parenthesis 2 straight n plus 1 right parenthesis straight x space equals space cos space 2 straight x




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270.

Show that:

sin left parenthesis straight n plus 2 right parenthesis straight x space cos left parenthesis straight n plus 1 right parenthesis straight x space minus space cos left parenthesis straight n plus 2 right parenthesis straight x space sin left parenthesis straight n plus 1 right parenthesis straight x space equals space sinx






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