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Trigonometric Functions

Short Answer Type

141.

Find the general solution of:

$sec squared 2 straight x space equals space 1 minus tan 2 straight x$

126 Views

142.

Find the general solution of:

$tan space 2 straight x space equals space tan space straight x$

104 Views

143.

Find the general solution of:

$cos space mx space plus space cos space nx space equals space 0$

114 Views

144. Find the general solution of the following trigonometric equation:

square root of 3 space sinx space minus space cos space straight x space equals space square root of 2

110 Views

145. Find the general solution of the following trigonometric equation:

tan space straight theta space plus space sec space straight theta space equals space square root of 3

122 Views

146. Find the general solution of the following trigonometric equation:

tan space straight x space plus space tan space 2 straight x space plus space tan space straight x space tan space 2 straight x space equals space 1

158 Views

147. Find the general solution of the following trigonometric equation:

$tan squared straight theta space plus space cot squared straight theta space equals space 2$

tan squared straight theta space plus space cot squared straight theta space equals space 2

rightwards double arrow

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rightwards double arrow

tan to the power of 4 straight theta space minus space 2 space tan squared straight theta space plus space 1 space equals space 0

rightwards double arrow

left parenthesis tan squared straight theta minus 1 right parenthesis squared space equals space 0

rightwards double arrow

tan squared straight theta space minus 1 space equals space 0

rightwards double arrow

tan squared straight theta space minus space 1 space equals space left parenthesis 1 right parenthesis squared space equals space tan squared straight pi over 4

Using

tan squared straight x space equals space tan squared straight y space rightwards double arrow space straight theta space equals space nπ space plus-or-minus space straight a comma space space straight n space element of space straight Z

, we get

straight theta space equals space nπ plus-or-minus straight pi over 4 comma space space straight n space element of space straight Z

Which is the required general solution.

113 Views

148. Find the general solution of the equation:

cos space 3 straight x space equals space sin space 2 straight x.

96 Views

Long Answer Type

149.

Find the general solution of the equation:

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117 Views

Short Answer Type

150.

Find the general solution of the equations:

$space space space tanx space plus space tan 2 straight x space plus space tan 3 straight x space equals space tanx space space tan 2 straight x space space tan 3 straight x$

104 Views