the value of 1 + tan square theta 1 - sin theta 1 + sin theta
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Step-by-step explanation:
1+tan²Q=sec²Q
a²-b²=(a+b)(a-b)
1-sin²Q=cos²Q
secQ=1/cosQ
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Answer:
ᴀɴsᴡᴇʀ : 1
(1 + ᴛᴀɴ² ᴛʜᴇᴛᴀ ) ( 1 - sɪɴ ᴛʜᴇᴛᴀ ) ( 1 + sɪɴ ᴛʜᴇᴛᴀ )
= sᴇᴄ² ᴛʜᴇᴛᴀ (1 - sɪɴ² ᴛʜᴇᴛᴀ )
= sᴇᴄ² ᴛʜᴇᴛᴀ ᴄᴏs²ᴛʜᴇᴛᴀ
= 1 \ ᴄᴏs²ᴛʜᴇᴛᴀ × ᴄᴏs²ᴛʜᴇᴛᴀ
= 1
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