Simplify 2tan x - x - 1 - 0

2tan x x +1=0 ⇒ 2tanx 1 tanx +1=0 ⇒ 2tan ^ 2 x +tanx 1=0 tan x = 1 2 #160; and tan x = 1 ...

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Byju's Answer

Standard XII

Mathematics

Integration of Trigonometric Functions

Simplify 2ta...

Question

Simplify
$2 tan x - cot x + 1 = 0$

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Solution

$2 tan x - cot x + 1 = 0 \Rightarrow 2 t a n x - \frac{1}{t a n x} + 1 = 0 \Rightarrow 2 {tan}^{2} x + t a n x - 1 = 0 tan x = \frac{1}{2} a n d tan x = - 1$

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Similar questions

Q. Find the general solution of

2 tan x - cot x + 1 = 0

Q. If

∠ x = 30^{0}

, then

tan 2 x = \frac{2 tan x}{1 - {tan}^{2} x}

If true enter 1 else 0.

Q. If

0^{0} \leq x \leq 90

and

1 + {tan}^{2} x - 2 tan x = 0

, then the value of

x

Prove that $\frac{1}{2} t a n (\frac{x}{2}) + \frac{1}{4} t a n (\frac{x}{4}) + . . . + \frac{1}{2^{n}} t a n (\frac{x}{2^{n}}) = \frac{1}{2^{n}} c o t + (\frac{x}{2^{n}}) - c o t x$ for all $n ϵ N$ and $0 < x < \frac{x}{2}$ .

Solve:

f (x) = \frac{1 - 2 t a n x}{1 + 2 t a n x}

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Simplify2tanx−cotx+1=0

2tanx−cotx+1=0⇒2tanx−1tanx+1=0⇒2tan2x+tanx−1=0tanx=12 and tanx=−1

Simplify
$2 tan x - cot x + 1 = 0$

$2 tan x - cot x + 1 = 0 \Rightarrow 2 t a n x - \frac{1}{t a n x} + 1 = 0 \Rightarrow 2 {tan}^{2} x + t a n x - 1 = 0 tan x = \frac{1}{2} a n d tan x = - 1$