What is the general solution for tan(x)sin(x)+cos(x)=1 ?

The general solution for tan(x)sin(x)+cos(x)=1 is x=2pin

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tan(x)sin(x)+cos(x)=1

tan (x) sin (x) + cos (x) = 1

x = 2 πn

Solution steps

tan (x) sin (x) + cos (x) = 1

Subtract

1

from both sides

tan (x) sin (x) + cos (x) - 1 = 0

Express with sin, cos

\frac{- cos ( x ) + cos ^{2} ( x ) + sin ^{2} ( x )}{cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

- cos (x) + cos^{2} (x) + sin^{2} (x) = 0

Rewrite using trig identities

- cos (x) + 1 = 0

Move

1

to the right side

- cos (x) = - 1

Divide both sides by

- 1

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

6 sin (t) = 0

(500 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

sec (x) = \frac{sin ( x )}{cos ( x )}

- cos (20.02 t) = sin (20 t)

sin^{3} (x) + 3 sin^{2} (x) + 2 sin (x) = 0, 0 \leq x < 2 π

What is the general solution for tan(x)sin(x)+cos(x)=1 ?
The general solution for tan(x)sin(x)+cos(x)=1 is x=2pin