ᴛʀᴏɢᴏɴᴏᴍᴇᴛʀʏ
ғɪɴᴅ ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ᴠᴀʟᴜᴇ ᴏғ ᴛʜᴇ ᴇxᴘʀᴇssɪᴏɴ?
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- view the picture for the answer explain
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Since value of sine and cos varies from 0 to 1.
Therefore , the max value of sine and cos must be 1.
Now , putting the values
= 1/[(sin^2 A)+(3 sin A × cos A)+(5cos^2 A)]
= 1/{(1)^2 + (3 × 1 × 1) + (5 × (1)^2)}
= 1/{ 1 + 3 + 5}
= 1/9
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