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Popular >

2sin(x)=sec(x)

Solution

2 sin (x) = sec (x)

Solution

x = \frac{π}{4} + πn

+1

Solution steps

2 sin (x) = sec (x)

Subtract

sec (x)

from both sides

2 sin (x) - sec (x) = 0

Express with sin, cos

\frac{- 1 + 2 cos ( x ) sin ( x )}{cos ( x )} = 0

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

- 1 + 2 cos (x) sin (x) = 0

Rewrite using trig identities

- 1 + sin (2 x) = 0

Move

1

to the right side

sin (2 x) = 1

General solutions for

sin (2 x) = 1

2 x = \frac{π}{2} + 2 πn

Solve

2 x = \frac{π}{2} + 2 πn : x = \frac{π}{4} + πn

x = \frac{π}{4} + πn

Popular Examples

2-sin(x)=2cos^2(x)

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

-sin(x-pi/2)=1-sin(x-(3pi)/2)

- sin (x - \frac{π}{2}) = 1 - sin (x - \frac{3 π}{2})

7(sin(x))(cos(x))+cos^2(x)=1

7 (sin (x)) (cos (x)) + cos^{2} (x) = 1

2sec(x)=tan(x)+cot(x)

2 sec (x) = tan (x) + cot (x)

sqrt(3)sin(2x)=cos(2x)

3 sin (2 x) = cos (2 x)

Frequently Asked Questions (FAQ)

What is the general solution for 2sin(x)=sec(x) ?
The general solution for 2sin(x)=sec(x) is x= pi/4+pin