What is the value of (sin(60)-cos(30))/(sec(60)) ?

The value of (sin(60)-cos(30))/(sec(60)) is 0

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(sin(60)-cos(30))/(sec(60))

\frac{sin ( 6 0 ^{\circ} ) - cos ( 3 0 ^{\circ} )}{sec ( 6 0 ^{\circ} )}

0

Solution steps

\frac{sin ( 6 0 ^{\circ} ) - cos ( 3 0 ^{\circ} )}{sec ( 6 0 ^{\circ} )}

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sec (6 0^{\circ}) = 2

= \frac{\frac{3}{2} - \frac{3}{2}}{2}

Simplify

= 0

\frac{1}{600} \cdot sin (arctan (\frac{67}{220}))

(sin (6 0^{\circ}) + 1)^{2}

59 - 25 cos^{2} (0) - 50 sin (0)

arctan (\frac{2.2907}{1.6326})

sin (- 1 \frac{1}{2})

What is the value of (sin(60)-cos(30))/(sec(60)) ?
The value of (sin(60)-cos(30))/(sec(60)) is 0