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nalin [4]
3 years ago
11

Prove that Tan x + Cos x = 1 /Sin x .Cos x​

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

tanx + cotx =  \frac{1}{sinxcosx}

Step-by-step explanation:

<u><em>Explanation</em></u>

Take R.H.S   = \frac{1}{sinxcosx}

            =      \frac{sin^{2}x+cos^{2}x  }{sinxcosx}

          =      \frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}

        = \frac{sinx}{cosx} + \frac{cosx}{sinx}

        = tanx + cotx

tanx + cotx =  \frac{1}{sinxcosx}

             

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