What is the value of 4+csc(11)sec(79)-cot(11)tan(79) ?

The value of 4+csc(11)sec(79)-cot(11)tan(79) is 5

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4+csc(11)sec(79)-cot(11)tan(79)

4 + csc (1 1^{\circ}) sec (7 9^{\circ}) - cot (1 1^{\circ}) tan (7 9^{\circ})

5

Solution steps

4 + csc (1 1^{\circ}) sec (7 9^{\circ}) - cot (1 1^{\circ}) tan (7 9^{\circ})

Refine to a decimal form

= 5

arctan (\frac{tan ( 3 3 ^{\circ} )}{1.25})

1 - cos^{2} (12 0^{\circ}) - cos^{2} (6 0^{\circ})

\frac{1}{4} (- cos (1 6^{\circ}) + 1)

cos (\frac{2 π}{5}) cos (\frac{π}{15}) + sin (\frac{2 π}{5}) sin (\frac{π}{15})

12 sin (18 0^{\circ})

What is the value of 4+csc(11)sec(79)-cot(11)tan(79) ?
The value of 4+csc(11)sec(79)-cot(11)tan(79) is 5