Question

what is the value of sin² 30° + cos² 30°

Answer 1

Heya mate, Here is ur answer

We know the identity

$\sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1$

Here angle is same that is 30° .

So,

Sin ^2 30°+ cos^2 30°=1

Let us also calculate it

Sin30= 1/2

Cos 30=√3/2

$( \frac{1}{2}) {}^{2} + (\frac{ \sqrt{3} }{2} ) {}^{2}$


$= \frac{1}{4} + \frac{3}{4}$

$= \frac{4}{4}$

=1

warm regards

@Laughterqueen

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Answer 2

The value of $\sin^230^{\circ}+\cos^230^{\circ}$ is 1

Explanation:

In this case, we need to find the value of $\sin^230^{\circ}+\cos^230^{\circ}$. We know that the value of sin(30) is equal to 1/2

So, putting the value of sin (30) in this given expression. We get ,

$=\sin^230^{\circ}+\cos^230^{\circ}\\\\=\sin^2(\dfrac{1}{2})+\cos^2(\dfrac{1}{2})\\\\=1$

So, the value of $\sin^230^{\circ}+\cos^230^{\circ}$ is 1. Hence, this is the required solution.

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Trigonometry

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