What is the value of sec(18)tan(18)cos(18)cot(18) ?

The value of sec(18)tan(18)cos(18)cot(18) is 1

Popular >

sec(18)tan(18)cos(18)cot(18)

sec (1 8^{\circ}) tan (1 8^{\circ}) cos (1 8^{\circ}) cot (1 8^{\circ})

1

Solution steps

sec (1 8^{\circ}) tan (1 8^{\circ}) cos (1 8^{\circ}) cot (1 8^{\circ})

Rewrite using trig identities:

cos (1 8^{\circ}) = \frac{1}{sec ( 1 8 ^{\circ} )}

= sec (1 8^{\circ}) tan (1 8^{\circ}) \frac{1}{sec ( 1 8 ^{\circ} )} cot (1 8^{\circ})

Simplify

= tan (1 8^{\circ}) cot (1 8^{\circ})

Rewrite using trig identities:

tan (1 8^{\circ}) = \frac{5 - 2 5}{5}

Rewrite using trig identities:

cot (1 8^{\circ}) = 5 + 25

= \frac{5 - 2 5}{5} 5 + 25

Simplify

\frac{5 - 2 5}{5} 5 + 25 : 1

= 1

3 csc (6 0^{\circ}) - cot (3 0^{\circ})

94 sin (2 3^{\circ})

\frac{tan ( 3 7 ^{\circ} ) - tan ( 1 3 ^{\circ} )}{1 + ( tan ( 3 7 ^{\circ} ) ) ( tan ( 1 3 ^{\circ} ) )}

\frac{tan ( 22 5 ^{\circ} )}{sin ( 33 0 ^{\circ} )}

cos (- 141 0^{\circ})

What is the value of sec(18)tan(18)cos(18)cot(18) ?
The value of sec(18)tan(18)cos(18)cot(18) is 1