
What is times ?
Answer
459.6k+ views
Hint: Here we will first find the value of the function in terms of . For doing this we will use the trigonometric identity where we will substitute a = b = x. Further we will use the identity to replace the sine function. Once the value of is found we will take its product with to get the answer.
Complete step by step answer:
Here we have been asked to simplify the expression given by the sentence times . That means we need to take the product of the cosine functions and . Let us assume its mathematical expression as E, so we have,
Now, first we will find the value of in terms of and then we will consider the required product. So we can write the argument of as:
Using the trigonometric identity and substituting a = b = x we get,
Further simplifying the above relation by using the formula to replace the sine function we get,
Substituting the above value in expression E we get,
Hence the above relation is our answer.
Note: You can also get the answer in a different format. What you can do is write the product as and then use the use the identity by considering a = 2x and b = x. In this case you will get the answer and it will also be the correct answer only the form will be different. You must remember all the trigonometric identities as they are used in other chapters and subjects also.
Complete step by step answer:
Here we have been asked to simplify the expression given by the sentence
Now, first we will find the value of
Using the trigonometric identity
Further simplifying the above relation by using the formula
Substituting the above value in expression E we get,
Hence the above relation is our answer.
Note: You can also get the answer in a different format. What you can do is write the product
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