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Tan x * csc x = sec x
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5 votes
Tan x * csc x = sec x

User Florent DUGUET
by
3.2k points

1 Answer

10 votes

Answer:

see explanation

Explanation:

using the identities

tanx =
(sinx)/(cosx) , cscx =
(1)/(sinx) , secx =
(1)/(cosx)

consider left side

tanx × cscx

=
(sinx)/(cosx) ×
(1)/(sinx) ( cancel sinx on numerator/ denominator )

=
(1)/(cosx) × 1

= secx = right side

User Nardnob
by
4.1k points
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