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Trigonometric Functions

Short 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.

We know that

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Replacing A by $space space straight x over 2 comma$ we get

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$rightwards double arrow$ $tanx space equals space fraction numerator 2 open parentheses begin display style 3 over 4 end style close parentheses over denominator 1 minus open parentheses begin display style 3 over 4 end style close parentheses squared end fraction space equals space 3 over 2 cross times 16 over 7 space equals space 24 over 7$

Hence, $tanx space equals space 24 over 7$

107 Views

92.

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

139 Views

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.

119 Views

94.

Show that:

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118 Views

95.

Show that:

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

107 Views

96.

Show that:

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

112 Views

97.

Show that:

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