Question

The value of sin²30-cos²30
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Answer 1

Answer:

sin^2(30)-cos^2(30)

=sin^2(30)+sin^2(30)-1

=2sin^2(30)-1

=2*1/√2*1/√2-1

=2/2-1

=1-1

=0

Step-by-step explanation:

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Answer 2

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ { \sin}^{2} {30}^{ \circ} -{ \cos}^{2} {30}^{ \circ} }$

EVALUATION

Here the given expression is

$\displaystyle \sf{ { \sin}^{2} {30}^{ \circ} -{ \cos}^{2} {30}^{ \circ} }$

We simplify it as below

$\displaystyle \sf{ { \sin}^{2} {30}^{ \circ} -{ \cos}^{2} {30}^{ \circ} }$

$\displaystyle \sf{ = { \bigg( \frac{1}{2} \bigg)}^{2} - { \bigg( \frac{ \sqrt{3} }{2} \bigg)}^{2} }$

$\displaystyle \sf{ = \frac{1}{4} - \frac{3}{4} }$

$\displaystyle \sf{ = \frac{1 - 3}{4} }$

$\displaystyle \sf{ = - \frac{2}{4} }$

$\displaystyle \sf{ = - \frac{1}{2} }$

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