What is the general solution for 5cos(2x+3)=sin(2x+3) ?

The general solution for 5cos(2x+3)=sin(2x+3) is x=(1.37340…)/2+(pin)/2-3/2

Popular >

5cos(2x+3)=sin(2x+3)

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

x = \frac{1.37340 \dots}{2} + \frac{πn}{2} - \frac{3}{2}

Solution steps

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

Rewrite using trig identities

tan (2 x + 3) = 5

Apply trig inverse properties

2 x + 3 = arctan (5) + πn

Solve

2 x + 3 = arctan (5) + πn : x = \frac{arctan ( 5 )}{2} + \frac{πn}{2} - \frac{3}{2}

x = \frac{arctan ( 5 )}{2} + \frac{πn}{2} - \frac{3}{2}

Show solutions in decimal form

x = \frac{1.37340 \dots}{2} + \frac{πn}{2} - \frac{3}{2}

4 \cdot cos (x) + 3 \cdot sec (x) = 8

\frac{3}{5} = sin (x)

\frac{sin ^{2} ( x )}{1 - cos ^{2} ( x )} = cot (x)

cos^{2} (x) + cos^{3} (x) + cos^{4} (x) + cos^{5} (x) = 0

sin^{2} (x) - 4 sin (x) = - 3

What is the general solution for 5cos(2x+3)=sin(2x+3) ?
The general solution for 5cos(2x+3)=sin(2x+3) is x=(1.37340…)/2+(pin)/2-3/2