Question

sin 30 degree + cos 60 degree minus sin 60 degree + cos 30 degree is equal to​

Answer 1

Correct question:-

$\sf sin 30^{\circ} + cos 60^{\circ} - sin 60^{\circ} + cos 30^{\circ} =$

How to find?

• By writing the values of sin and cos from specific table of angles and further solving with the sing given will reach to the answer.
• So lets start.

Solution:-

$\implies \sf The \: value \: of \: sin30^{\circ} = \dfrac{1}{2} \\ \\ \implies \sf The \: value\: of \: cos30^{\circ} = \dfrac{\sqrt{3}}{2} \\ \\ \implies \sf The \: value\: of \: sin60^{\circ} = \dfrac{\sqrt{3}}{2} \\ \\ \implies \sf The \: value\: of\: cos60^{\circ} = \dfrac{1}{2}$

Now, the putting the value ,

$\implies \sf sin 30^{\circ} + cos 60^{\circ} - sin 60^{\circ} + cos 30^{\circ} \\ \\ \implies \dfrac{1}{2} + \dfrac{1}{2} - \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{3}}{2} \\ \\ \implies \sf \dfrac{ 1 + 1 - \sqrt{3} + \sqrt{3}}{2} \\ \\ \implies \sf \dfrac{2}{2} \\ \\ \implies {\cancel\dfrac{2}{2}} \\ \\ \implies \sf 1$

Answer:-

$\large {\boxed {\boxed {\sf {\red {= 1 }}}}}$

More to know:-

• Trigonometry is the study of relationship between the sides and angles of triangle.
• With the help of different identities and ratios we could understand the relationship of trigonometry and its importance too.

Answer 2

the answer is 1

Step-by-step explanation:

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