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

The value of (sin(30)tan(30))/(sec(30)-cos(30)) is 1

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

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

1

Solution steps

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

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

Use the following trivial identity:

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

Use the following trivial identity:

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

= \frac{\frac{1}{2} \cdot \frac{3}{3}}{\frac{2 3}{3} - \frac{3}{2}}

Simplify

\frac{\frac{1}{2} \cdot \frac{3}{3}}{\frac{2 3}{3} - \frac{3}{2}} : 1

= 1

tan (\frac{22 π}{3})

4 sin (31 0^{\circ})

\frac{2 sin ( 5 0 ^{\circ} )}{3}

arcsin (\frac{1}{2}) - arcsin (0)

sec (- 42 0^{\circ})

What is the value of (sin(30)tan(30))/(sec(30)-cos(30)) ?
The value of (sin(30)tan(30))/(sec(30)-cos(30)) is 1