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Social Science(5) Verify the following identities.(a) cot x + tan x = sec x csc x(b) sec4 x − sec2 x = tan4 x + tan2 x
(5) Verify the following identities.
(a) cot x + tan x = sec x csc x
(b) sec4 x − sec2 x = tan4 x + tan2 x
Expert Answer
(a) The given trigonomet...
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cotxtanx = secx cscx Prove the given trigonometric identity is true as follows Consider the left hand side of the given trigonometric identity and simplify further sinx sinx cOs x cosx cotxtanx = cotx tanx sinx sin x cosx cosx cos2 rsin2 x sinxcosx 1 cos2xsin2x=1 cos xsinx 1 1 cos x sinx =secx CSCx Hence, cotx + tan x = sec x cscx
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