Question
The general solution of the equation, is
![straight n pi plus left parenthesis negative 1 right parenthesis to the power of straight n pi over 4 comma straight n element of 1](data:image/png;base64,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)
![straight n pi plus left parenthesis plus 1 right parenthesis equals pi over 3 comma straight n element of straight I](data:image/png;base64,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)
![straight n pi plus left parenthesis negative 1 right parenthesis to the power of straight n pi over 6 comma straight n element of straight I](data:image/png;base64,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)
- none
The correct answer is: ![straight n pi plus left parenthesis negative 1 right parenthesis to the power of straight n pi over 6 comma straight n element of straight I](data:image/png;base64,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)
Related Questions to study
The most general solution of cot =
and cosec
= – 2 is :
In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.
The most general solution of cot =
and cosec
= – 2 is :
In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.
Let S =
The sun of all distinct solution of the equation ![square root of 3 sec space x plus cosec space x plus 2 left parenthesis tan space x minus cot space x right parenthesis equals 0](data:image/png;base64,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)
Let S =
The sun of all distinct solution of the equation ![square root of 3 sec space x plus cosec space x plus 2 left parenthesis tan space x minus cot space x right parenthesis equals 0](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS0AAAATCAYAAADF5FuHAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABRBJREFUeNrtXHFkVlEUv2YymWlWksqSJJOMmjVr8pEkmUnRJEmZZNKfpaL0R+mPNZWYlSQVWWuSimQmScmaJFMm6Y/JWExqPl+9zrHfl9ftvnfve997b29998fP9t53v917zzn3nHvOu29CmKOc6BRACwsLi0Sxg9hvxWBhYTFT8JC4z4rBYhpxgHjGimHacQa6SDXmEr/ip4XFdGAV8bkVQ2rwDDpJLfYT7yruZ4gPiN+Jk8T3xE5ildWphQEaiT3ECWKWOETc6bNIaq3IUoPVxKcx/e0K4iXiC7AL9wKBa1nbPO5vJc5y3WPDemR1amGAAWKrmHrIw6iBc2qV2tXivhvjVnzGiEtWT+G8osYTYrPregvuGWMJcYxYFuA7E/+h4u0T0GRkVU18I907S2y3+kid7R4U0dcYtxPPK+53KoKZJw4TuwN0upQ47PNZP9JJr6MQPLDPSDevejjLRkRpbvOJuEszpr0ewj2Fz6JWvG58HDneISV6J0WVYpOVCpPSNe/cm6S/73ecphlpRRYli0aP8fECGUF/LKPFBmOLQj4iQVsKevQoyPwagu6ADMDlgo2K+xl8ZoTXxE0G7eYT98BINnu0eeWxQPOoh8Nj4ykhthE7FKkC7/xa0GY58YbB+AYxxjx4rBdjiFa68dVjoazE9UpcNxShrFRoUKSCE1IJQtfHDaSa+bG/VXx3O3Zw1a52A4ZjLFQ+ImFbCqoP0/nN8smqwp7dHFfoOt/XF/lmuaIhC2GUWKoxUDcP+bTlXUOlz+e9ii3gqMITHwxhAJtci3pDiAhhqnjd+HoQHeVo2VeEspJRhh2SvDPKFdBHCXYh8nczBu3iko9I2JacGPWfjXjOOZO+liG14ImtkxqdJp4z7KwSEYGNbr1HmxahLrTm8U3y8Kr6GF9XhBTIY4yNn1JVGSy8MJFCNz7VrkEVsYpBVrL99HmkBoU4LVVbJwJnO5NsyYlR/0k6rT9lg2NwWnwO66XU6CNxTcBOy+G4/D7vRv693FC5UaUehyDkMOdLnIjaOQGU/7/Lyl2/60MANV2cfn0cR5kiF1AuTkLyEQnbkhOT/uNID794pIdlqvSQT7j+ckXvtcQPmtRQ6xF9cAS5s5zPztZ8byzk7iF/JqhDBHgKEULxuvGZRsdikBVjBRzzbE3UbzTsowv1qrIYd1qFykckbEtOTPqPqxCvqqFvFB6FeK6j3MTvF4gnQnS6ClEuTK2Bd3y6JzDdIeo0HMnvYWHw7uWVCH4A1lTxuvGx4JsVqWBvEcqKA+Rtg8CoOvKQhVyEJkWO2mlFIR+RsC15yarQ+bVDN1Fiq1CfVrjq5UAvE3/AiMYQBf0wgKhWCqFkkFLuNhgcLzj5BWxOD0ZcdQ1+snNNIdRPmBz3uZB4xaefeWLq1L5b8FysvB7TQtSNrw5zrHE5+RHFTqIYZHXfwMYYqsOlQx5GPOxy5jxfflQ/it8LdVpRyUckbEtDhjvCoPOL63BpP9LTUuwcjwqfJ7tziD+Jd4TZe15NMLxJsF/8+zRDlefmIJwFijZ1MFBu81aoH/vXom6Wg0KafXLuXslg87glzI5yhIFufFuwuLKYY0uRyipIveO5VF/JoMbhKHb6g5Atz5uPBZyU6iFhnNZMtiUvWRUyvzhf46mEc55E9tcl1Kcb/vKeuqMLFhZJw74wnS6k6oXpOjitRVYvFikDv7hv/zXN9IPrWG1pG9Q2qxcLC4s04jfwRxKgYQ1DYwAAAUV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXNxcnQ+PG1uPjM8L21uPjwvbXNxcnQ+PG1pPnNlYzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPng8L21pPjxtbz4rPC9tbz48bWk+Y29zZWM8L21pPjxtbz4mI3hBMDs8L21vPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI8L21uPjxtbz4oPC9tbz48bWk+dGFuPC9taT48bW8+JiN4QTA7PC9tbz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bWk+Y290PC9taT48bW8+JiN4QTA7PC9tbz48bWk+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bW4+MDwvbW4+PC9tYXRoPj2LZ5UAAAAASUVORK5CYII=)
A wave motion has the function
The graph in figure shows how the displacement
at a fixed point varies with time
Which one of the labelled points shows a displacement equal to that at the position
at time ![t equals 0](data:image/png;base64,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)
![](data:image/png;base64,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)
A wave motion has the function
The graph in figure shows how the displacement
at a fixed point varies with time
Which one of the labelled points shows a displacement equal to that at the position
at time ![t equals 0](data:image/png;base64,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)
![](data:image/png;base64,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)
For
, the equation
has
For
, the equation
has
Which of the following pairs of compounds are functional isomers?
Which of the following pairs of compounds are functional isomers?
Let
be such that
and
Then
cannot satisfy
In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = .
Let
be such that
and
Then
cannot satisfy
In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = .
The number of all possible values of , where 0<
<
, which the system of equations
has a solution
with
, is
The number of all possible values of , where 0<
<
, which the system of equations
has a solution
with
, is
Roots of the equation are
Roots of the equation are
Isomers are possible for the molecular formula
Isomers are possible for the molecular formula
The number of solutions of the pair of equations in the interval [0, 2
] is
The number of solutions of the pair of equations in the interval [0, 2
] is