Find the general expression for all the angles whose cotangent i

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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.

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584.
Find the general expression for all the angles whose cotangent is zero.

Let $angle XOP space equals space straight x$ by any angle, then

cot x = 0

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

$rightwards double arrow$ OM = 0

$rightwards double arrow$ OP coincides OY or OY'

i.e.    $space space straight x space equals space plus-or-minus straight pi over 2 comma space plus-or-minus fraction numerator 3 straight pi over denominator 2 end fraction comma space plus-or-minus fraction numerator 5 straight pi over denominator 2 end fraction comma.............$

So, general value of x is given by $straight x equals left parenthesis 2 straight n plus 1 right parenthesis straight pi over 2 comma space straight n space element of space straight Z$

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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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