Find the value of: from Mathematics Trigonometric Functions

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 Multiple Choice QuestionsShort Answer Type

91.

If tan open parentheses straight x over 2 close parentheses space equals space 3 over 4 comma find the value of:

tan x.

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92.

Show that: space space space square root of 2 plus square root of 2 plus 2 space cos space 4 straight theta end root end root space equals space 2 cosθ

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93. If space space tanx space equals space straight b over straight a comma find the value of straight a space cos space 2 straight x space plus space straight b space sin space 2 straight x.
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94.

Show that:  

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#6 {main}</pre>

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95.

Show that:  

8 cos cubed open parentheses straight pi over 9 close parentheses minus 6 cos open parentheses straight pi over 9 close parentheses space equals space 1

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96.

Show that:

cos 4 straight A space equals space 1 minus 8 cos squared straight A space plus space 8 cos to the power of 4 straight A

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97.

Show that:

cos space 6 straight A space equals space 32 space cos to the power of 6 straight A space minus space 48 space cos to the power of 4 straight A space plus space 18 space cos squared straight A space minus 1

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98.

Show that:

cos 20 degree space cos 40 degree space cos 60 degree space cos 80 degree space equals space 1 over 16

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99.

Find the value of:

space space tan open parentheses straight pi over 8 close parentheses

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100.

Find the value of:

space space tan open parentheses fraction numerator 11 straight pi over denominator 8 end fraction close parentheses


tan open parentheses fraction numerator 11 straight pi over denominator 8 end fraction close parentheses space equals space tan open parentheses 11 over 8 cross times 180 degree close parentheses space equals space tan open parentheses 11 cross times 22 1 half to the power of ring operator close parentheses space equals space tan open parentheses 247 1 half to the power of ring operator close parentheses space equals space tan open parentheses 270 degree minus 22 1 half to the power of ring operator close parentheses

                 equals space cot space 22 1 half to the power of ring operator                                                 [∵ space space tan left parenthesis 270 degree minus straight theta right parenthesis space equals space cot space straight theta]

                  equals fraction numerator 1 over denominator tan 22 begin display style 1 half end style to the power of ring operator end fraction space equals space fraction numerator 1 over denominator square root of 2 minus 1 end fraction                                    [From part (a)]

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#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre>

Hence,      tan open parentheses fraction numerator 11 straight pi over denominator 8 end fraction close parentheses space equals space square root of 2 minus 1
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