What is the value of sec(60)-sin(30)+cot(45) ?

The value of sec(60)-sin(30)+cot(45) is 5/2

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sec(60)-sin(30)+cot(45)

sec (6 0^{\circ}) - sin (3 0^{\circ}) + cot (4 5^{\circ})

\frac{5}{2}

Decimal Notation

2.5

Solution steps

sec (6 0^{\circ}) - sin (3 0^{\circ}) + cot (4 5^{\circ})

Use the following trivial identity:

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

sec (6 0^{\circ})

sec (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= 2

Use the following trivial identity:

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

sin (3 0^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

Use the following trivial identity:

cot (4 5^{\circ}) = 1

cot (4 5^{\circ})

cot (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 1

= 2 - \frac{1}{2} + 1

Simplify

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

2 - \frac{1}{2} + 1

Add the numbers:

2 + 1 = 3

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

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

3 \cdot 2 - 1 = 5

3 \cdot 2 - 1

Multiply the numbers:

3 \cdot 2 = 6

= 6 - 1

Subtract the numbers:

6 - 1 = 5

= 5

= \frac{5}{2}

= \frac{5}{2}

arcsec (\frac{1.46}{1.47})

8 e^{8 (1 - 1)} sec^{2} (e^{8 (1 - 1)}) - 8 e^{8 (1 - 1)}

tan (\frac{4}{6})

arcsin (- \frac{1}{5})

sec (5 4^{\circ})

What is the value of sec(60)-sin(30)+cot(45) ?
The value of sec(60)-sin(30)+cot(45) is 5/2