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3 years ago

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:

Explanation

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

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