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ICSE Class 10 Answered

please solve this
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Asked by shethdhanesh | 24 Oct, 2023, 10:41: AM
answered-by-expert Expert Answer
It is required to prove begin mathsize 14px style space square root of s e c squared theta plus cos e c squared theta end root space equals space tan theta space plus space c o t theta end style
 
 begin mathsize 14px style L H S space equals space square root of s e c squared theta plus cos e c squared theta end root end style
 
begin mathsize 14px style L H S space equals space square root of 1 plus tan squared theta space plus space 1 space plus space c o t squared theta end root space end style
 
begin mathsize 14px style L H S space equals space square root of tan squared theta space plus space 2 space plus space c o t squared theta end root space end style
begin mathsize 14px style L H S space equals space square root of tan squared theta space plus space 2 space tan theta space c o t theta plus space c o t squared theta end root space end style
 
begin mathsize 14px style L H S space equals space square root of left parenthesis space tan theta space plus space c o t theta space right parenthesis squared end root space equals space tan theta space plus space c o t theta end style
 
Hence LHS = RHS
 
 
 
 
 
 
Answered by Thiyagarajan K | 24 Oct, 2023, 03:07: PM
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