
Find using ?
Answer
456.9k+ views
Hint: As we know that the above question is related to trigonometry as sine, cosine are the trigonometric ratios. The given trigonometric identity is a basic difference formula of the trigonometric ratio. In the above question we will break down the degree in two different numbers and then apply the given trigonometric identity.
Complete step by step solution:
As per the given question we have .
It can be written as .Here we have and .
So we can write it as .
We know the value of and . The value of is the same in degrees and radians. To obtain the value of in radian, we multiply by .
Therefore the value is .
By putting the values in the formula we have .
Hence the required value of is .
So, the correct answer is “ ”.
Note: Before solving this kind of question we should have the clear concept of trigonometric ratios, identities and their formulas. We should note that in the above solution can also be written as , as the identity says that . It gives us the same value as in the above solution. WE should know all the identities as there are several ways to solve a question.
Complete step by step solution:
As per the given question we have
It can be written as
So we can write it as
We know the value of
Therefore the value is
By putting the values in the formula we have
Hence the required value of
So, the correct answer is “
Note: Before solving this kind of question we should have the clear concept of trigonometric ratios, identities and their formulas. We should note that in the above solution
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