What is the general solution for cos(w)=0.75sin(90-w) ?

The general solution for cos(w)=0.75sin(90-w) is w=90+360n,w=270+360n

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cos(w)=0.75sin(90-w)

cos (w) = 0.75 sin (9 0^{\circ} - w)

w = 9 0^{\circ} + 36 0^{\circ} n, w = 27 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (w) = 0.75 sin (9 0^{\circ} - w)

Rewrite using trig identities

cos (w) = 0.75 cos (w)

Subtract

0.75 cos (w)

from both sides

0.25 cos (w) = 0

Multiply both sides by

100

25 cos (w) = 0

Divide both sides by

25

cos (w) = 0

General solutions for

cos (w) = 0

w = 9 0^{\circ} + 36 0^{\circ} n, w = 27 0^{\circ} + 36 0^{\circ} n

csc (4 x) = 2

3 tan^{2} (x) = 2 sec^{2} (x) + 1, 0^{\circ} \leq x \leq 18 0^{\circ}

2 arctan (x e^{\frac{0}{2}}) = \frac{π}{2}

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

x, 2 cos (x) - 2 = 0

What is the general solution for cos(w)=0.75sin(90-w) ?
The general solution for cos(w)=0.75sin(90-w) is w=90+360n,w=270+360n