Solve sin(30 degrees) + tan(45 degrees) - (cosec(60 degrees) / sec(30 degrees)) + cos(60 degrees) + cot(45 degrees)

Question

Simplify the expression

30 e^{3} i s^{2} n d g r + 45 e^{3} t an d g rs - 2 oc + 60 e^{3} co s^{2} d g r + 45 e^{3} co t d g rs

Evaluate

s in (30 d e g re \times es) + t an (45 d e g re \times es) - (cosec (60 d e g re \times es) \div sec (30 d e g re \times es)) + cos (60 d e g re \times es) + co t (45 d e g re \times es)

Remove the parentheses

s in \times 30 d e g re \times es + t an \times 45 d e g re \times es - (cosec \times 60 d e g re \times es \div (sec \times 30 d e g re \times es)) + cos \times 60 d e g re \times es + co t \times 45 d e g re \times es

Rewrite the expression in exponential form

s in \times 30 d e g re \times es + t an \times 45 d e g re \times es - (cosec \times 60 d e g re \times es \div (sec \times 30 d e g re \times es)) + cos \times 60 d e g re \times es + co t \times 45 d e^{3} g rs

Rewrite the expression in exponential form

s in \times 30 d e g re \times es + t an \times 45 d e g re \times es - (cosec \times 60 d e g re \times es \div (sec \times 30 d e g re \times es)) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Rewrite the expression in exponential form

s in \times 30 d e g re \times es + t an \times 45 d e^{3} g rs - (cosec \times 60 d e g re \times es \div (sec \times 30 d e g re \times es)) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Rewrite the expression in exponential form

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (cosec \times 60 d e g re \times es \div (sec \times 30 d e g re \times es)) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Rewrite the expression in exponential form

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (cosec \times 60 d e g re \times es \div (s e^{4} c \times 30 d g rs)) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Dividing by a^{n} is the same as multiplying by a^{- n}

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{cosec \times 60 d e g re \times es e ^{- 4}}{sc \times 30 d g rs}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{osec \times 60 d e g re \times es e ^{- 4}}{s \times 30 d g rs}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{oec \times 60 d e g re \times es e ^{- 4}}{30 d g rs}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{oec \times 60 e g re \times es e ^{- 4}}{30 g rs}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{oec \times 60 ere \times es e ^{- 4}}{30 rs}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{oec \times 60 e \times e \times es e ^{- 4}}{30 s}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{oec \times 60 e \times e \times e \times e ^{- 4}}{30}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Rewrite the expression in exponential form

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - (\frac{o e ^{4} c \times 60 e ^{- 4}}{30}) + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Reduce the fraction

More Steps

s in \times 30 d e^{3} g rs + t an \times 45 d e^{3} g rs - 2 oc + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Multiply

More Steps

30 e^{3} i s^{2} n d g r + t an \times 45 d e^{3} g rs - 2 oc + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Multiply the terms

More Steps

30 e^{3} i s^{2} n d g r + 45 e^{3} t an d g rs - 2 oc + cos \times 60 d e^{3} g rs + co t \times 45 d e^{3} g rs

Multiply

More Steps

30 e^{3} i s^{2} n d g r + 45 e^{3} t an d g rs - 2 oc + 60 e^{3} co s^{2} d g r + co t \times 45 d e^{3} g rs

Solution

More Steps

30 e^{3} i s^{2} n d g r + 45 e^{3} t an d g rs - 2 oc + 60 e^{3} co s^{2} d g r + 45 e^{3} co t d g rs

Show Solution

s = 0, c = 0, d = 0, g = 0, r = 0

Show Solution