Sometimes in trigonometry we multiply numerator and denominator by any number how to find the number?I know that it is according to question but pl explain with example .
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Step-by-step explanation:
You can use either reciprocal or ratio identities, depending on which side you are going to work on. Here is an example
Sin Ф / cosФ + cosФ/sinФ =cosecФ secФ
To get common denominator multiply both terms on the left by fraction equal to 1
sin Ф/cosФ * sinФ/sinФ + cosФ /sin Ф * cosФ /cosФ =cosecФ secФ
sin²Ф/cosФsinФ + cos²Ф/sinФcosФ= cosecФ secФ
sin²Ф +cos²Ф/cosФsinФ=cosecФ secФ
1/ cosФsinФ = cosecФsecФ
Use reciprocal identities on the denomination
i/1/secФ*1/cosecФ = cosecФsecФ
secФcosecФ = cosecФsecФ
Explained, Hope it will helpful for you to understand the concept
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