What is the general solution for 7.5sin(x)=3.4cos(x) ?

The general solution for 7.5sin(x)=3.4cos(x) is x=0.42562…+pin

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7.5sin(x)=3.4cos(x)

7.5 sin (x) = 3.4 cos (x)

x = 0.42562 \dots + πn

Solution steps

7.5 sin (x) = 3.4 cos (x)

Rewrite using trig identities

7.5 tan (x) = 3.4

Multiply both sides by

10

75 tan (x) = 34

Divide both sides by

75

tan (x) = \frac{34}{75}

Apply trig inverse properties

x = arctan (\frac{34}{75}) + πn

Show solutions in decimal form

x = 0.42562 \dots + πn

sec (θ) = 8, tan (θ) = 37

tan (3 x - 4) = \frac{- 1}{2}

π cos (2 θ) = 0

2 + 3 sec (x) - 4 cos (x) = 23

4 sin (x) \cdot cos (x) = 2 sin (x)

What is the general solution for 7.5sin(x)=3.4cos(x) ?
The general solution for 7.5sin(x)=3.4cos(x) is x=0.42562…+pin