Question

verify that cos 60 degree = cos^2 30 degree - sin^2 30 degree = 1/2

pls answer it fast​

Answer 1

$\bf \large \bold{Hola! }$

VerificatioN :

$\sf \mapsto \cos \: 60 \degree \: = { \underline{ \boxed{ \frac{1}{2} }}}$

Now;

$\sf \mapsto { \cos}^{2} 30 \degree - { \sin}^{2} 30 \degree \\ \\ = { (\frac{ \sqrt{3} }{2} )}^{2} - (\frac{1}{2})^{2} \\ \\ = \sf\frac{3}{4} - \frac{1}{4} \\ \\ \therefore { \underline{\boxed{ \frac{1}{2} }}}$

Hence, Verified!!

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HAVE A WONDERFUL DAY

Answer 2

Step-by-step explanation:

\bf \large \bold{Hola! }Hola!

VerificatioN :

\sf \mapsto \cos \: 60 \degree \: = { \underline{ \boxed{ \frac{1}{2} }}}↦cos60°=

2

1

Now;

\begin{gathered} \sf \mapsto { \cos}^{2} 30 \degree - { \sin}^{2} 30 \degree \\ \\ = { (\frac{ \sqrt{3} }{2} )}^{2} - (\frac{1}{2})^{2} \\ \\ = \sf\frac{3}{4} - \frac{1}{4} \\ \\ \therefore { \underline{\boxed{ \frac{1}{2} }}}\end{gathered}

↦cos

2

30°−sin

2

30°

=(

2

3

)

2

−(

2

1

)

2

=

4

3

−

4

1

∴

2

1

Hence, Verified!!

______________________________________

HAVE A WONDERFUL DAY