Find the general solution or the general expression for all angl

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Trigonometric Functions

Short Answer Type

581.

Find the general expression for all angles whose sine is zero.

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582. Find the general expression for all angles whose tangent is zero.

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583.
Find the general solution or the general expression for all angles, whose cosine is zero.

Let $space angle XOP equals straight x$ be any angle.
Now, cos x = 0

$rightwards double arrow$ $OM over OP equals 0$

$rightwards double arrow$ OM = 0

$rightwards double arrow$ OP coincides with OY or OY' which is true when

$straight x equals straight pi over 2 comma space fraction numerator 3 straight pi over denominator 2 end fraction comma space fraction numerator 5 straight pi over denominator 2 end fraction comma space......... space or space straight x space equals space fraction numerator negative straight pi over denominator 2 end fraction comma space fraction numerator negative 3 straight pi over denominator 2 end fraction comma space fraction numerator negative 5 straight pi over denominator 2 end fraction comma space......$

So, general value of x is given by

$straight x equals left parenthesis 2 straight n plus 1 right parenthesis straight pi over 2 comma space space where space straight n element of straight Z$

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584.

Find the general expression for all the angles whose cotangent is zero.

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585. Find a general expression for all angles having the same sine, i.e. when sin x = sin y, find the general value of x

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586.

Find general value of x, when cos x = cos y

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587.

To find general value of x when tanx = tany

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588. Find general value of x for which:

sin squared straight x space equals space sin squared straight y

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589. Find general value of x for which:

cos squared straight x space equals space cos squared straight y

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590. Find general value of x for which:

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