Question

Find the principal solutions of the eqution sin x = √3/2.



maths, 11th, ch3​

Answer 1

Answer:

according to chapter 3 that is nothing but Trignometry

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here , A $\implies$ All trigonometric equation are positive in first quadrant

S$\implies$ sin and cosec are only positive in second quadrant

T$\implies$tan and cot are only positive in third quadrant

C$\implies$cos and sec are only positive in fourth quadrant

now ,

sinx = $\frac{ \sqrt{3} }{2}$

sin 60° = $\frac{ \sqrt{3} }{2}$

okay , so

we know that in the first quad all trigonometric ratios are positive

therefore sin 30° is the correct answer

we know that in second quadrant only sin and cosec is positive

therefore , sin(180-60)= sin(120)° is positive

in third and fourth quad it's negative so answer will also be negative

hope it helps