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If sec x=3 and tan x=2sqrt 2, what are the values of sin x and cos ^2 x?

1 Answer

Sep 25, 2016

#sinx=2sqrt2/3, and, cos^2x=1/9#

Explanation:

We have, #tanx=sinx/cosx=sinx*secx#

Given that, #secx=3, tanx=2sqrt2#

Sub.ing, we get, #2sqrt2=3sinx rArr sinx=2sqrt2/3#

#cos^2x=1/sec^2x=1/(3)^2=1/9.#

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