Question

The value of \[\sin {60^ \circ } + \cos {30^ \circ }\] =?

Answer 1

Hint: The hint to solve the question is very simple. As we know the values of both the function for their given angles we will just put the values and find the answer. If required any further simplification we will do that.

Complete step by step solution:
Given the equation is to find the value of,
\[\sin {60^ \circ } + \cos {30^ \circ }\]
As we know the values of the functions so given are \[\sin {60^ \circ } = \dfrac{{\sqrt 3 }}{2}\& \cos {30^ \circ } = \dfrac{{\sqrt 3 }}{2}\]
Now since the values are found we will go for the next step of addition.
\[ = \dfrac{{\sqrt 3 }}{2} + \dfrac{{\sqrt 3 }}{2}\]
\[ = \dfrac{{2\sqrt 3 }}{2}\]
Cancelling 2 we get,
\[ = \sqrt 3 \]
Thus this is the answer for \[\sin {60^ \circ } + \cos {30^ \circ } = \sqrt 3 \]
So, the correct answer is “$ \sqrt 3$”.

Note: Note that, this was simply a question like put the values and answer the question. But we should be careful about the angle so given and the function so asked. In the case above, coincidently the angles are different , functions are also different but the values are the same. But this is not a mistake. Whatever the values come, put them in the place of the equation and perform whatever the operation is.
Note that the value of sin and cos function for \[\dfrac{\pi }{4}\] is 1.