If sin A -1-2- then find the value of cot A-

Sin A = 1/2=Opposite side/hypotenuse so, the length of adjacent side = √(2^2 1^2 ) = nbsp; √(3 ) we know that cot A =adjacent side/opposite side so, cot A =√( ...

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Standard XII

Mathematics

Sine Rule

If sin A =1/2...

Question

If $s i n A = \frac{1}{2}$ , then find the value of cot A.

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Solution

$s i n A = \frac{1}{2} = \frac{O p p o s i t e s i d e}{h y p o t e n u s e}$
so, the length of adjacent side = $\sqrt{2^{2} - 1^{2}}$ = $\sqrt{3}$
we know that $c o t A = \frac{a d j a c e n t s i d e}{o p p o s i t e s i d e}$
so, $c o t A = \sqrt{3}$

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If sinA=12, then find the value of cot A.

sinA=12=Oppositesidehypotenuse so, the length of adjacent side = √22−12 = √3 we know that cotA=adjacentsideoppositeside so, cotA=√3

If $s i n A = \frac{1}{2}$ , then find the value of cot A.

$s i n A = \frac{1}{2} = \frac{O p p o s i t e s i d e}{h y p o t e n u s e}$
so, the length of adjacent side = $\sqrt{2^{2} - 1^{2}}$ = $\sqrt{3}$
we know that $c o t A = \frac{a d j a c e n t s i d e}{o p p o s i t e s i d e}$
so, $c o t A = \sqrt{3}$