The value of (1 + tan^ theta) (1 - sin theta) (1 + sin theta) = _______.
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(1 + ᴛᴀɴ²ᴛʜᴇᴛᴀ ) (1 - sɪɴ ᴛʜᴇᴛᴀ ) (1+ sɪɴ ᴛʜᴇᴛᴀ )
= sᴇᴄ²ᴛʜᴇᴛᴀ (1 - sɪɴ²ᴛʜᴇᴛᴀ )
= sᴇᴄ²ᴛʜᴇᴛᴀ ᴄᴏs²ᴛʜᴇᴛᴀ
= 1 / ᴄᴏs²ᴛʜᴇᴛᴀ × ᴄᴏs²ᴛʜᴇᴛᴀ
= 1
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