If sec $\theta$ + tan $\theta$ = k, then sec $\theta$ − tan $\theta$ is equal to ______.

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KollegeApply · Accepted Answer

If sec $\theta$ + tan $\theta$ = k, then sec $\theta$ − tan $\theta$ is equal to bbunderline(1/k). Explanation: sec2 $\theta$ − tan2 $\theta$ = 1 (sec $\theta$ + tan $\theta$)(sec $\theta$ − tan $\theta$) = 1 We are given that sec $\theta$ + tan $\theta$ = k. Substitute this into the equation: (k)(sec $\theta$ − tan $\theta$) = 1 Divide both sides by k: sec $\theta$ − tan $\theta$ = 1/k

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