What is the value of ((sin(90)+tan(0)+sec(360)-cot(90)))/(2csc(270)) ?

The value of ((sin(90)+tan(0)+sec(360)-cot(90)))/(2csc(270)) is -1

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((sin(90)+tan(0)+sec(360)-cot(90)))/(2csc(270))

\frac{( sin ( 9 0 ^{\circ} ) + tan ( 0 ^{\circ} ) + sec ( 36 0 ^{\circ} ) - cot ( 9 0 ^{\circ} ) )}{2 csc ( 27 0 ^{\circ} )}

- 1

Solution steps

\frac{( sin ( 9 0 ^{\circ} ) + tan ( 0 ) + sec ( 36 0 ^{\circ} ) - cot ( 9 0 ^{\circ} ) )}{2 csc ( 27 0 ^{\circ} )}

= \frac{sin ( 9 0 ^{\circ} ) + tan ( 0 ) + sec ( 36 0 ^{\circ} ) - cot ( 9 0 ^{\circ} )}{2 csc ( 27 0 ^{\circ} )}

Use the following trivial identity:

sin (9 0^{\circ}) = 1

Use the following trivial identity:

tan (0) = 0

Rewrite using trig identities:

sec (36 0^{\circ}) = 1

Use the following trivial identity:

cot (9 0^{\circ}) = 0

Rewrite using trig identities:

csc (27 0^{\circ}) = - 1

= \frac{1 + 0 + 1 - 0}{2 ( - 1 )}

Simplify

= - 1

\frac{120}{sin ( 3 0 ^{\circ} )}

arctan (- \frac{6}{2})

\frac{82}{cos ( 4 5 ^{\circ} )}

cot (16 5^{\circ})

arcsin (0.87097)

What is the value of ((sin(90)+tan(0)+sec(360)-cot(90)))/(2csc(270)) ?
The value of ((sin(90)+tan(0)+sec(360)-cot(90)))/(2csc(270)) is -1