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Popular >

tan((5pi)/3)cot((5pi)/6)+csc(pi/2)

Solution

tan (\frac{5 π}{3}) cot (\frac{5 π}{6}) + csc (\frac{π}{2})

Solution

4

Solution steps

tan (\frac{5 π}{3}) cot (\frac{5 π}{6}) + csc (\frac{π}{2})

Rewrite using trig identities:

tan (\frac{5 π}{3}) = - 3

Use the following trivial identity:

cot (\frac{5 π}{6}) = - 3

Use the following trivial identity:

csc (\frac{π}{2}) = 1

= (- 3) (- 3) + 1

Simplify

(- 3) (- 3) + 1 : 4

= 4

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Frequently Asked Questions (FAQ)

What is the value of tan((5pi)/3)cot((5pi)/6)+csc(pi/2) ?
The value of tan((5pi)/3)cot((5pi)/6)+csc(pi/2) is 4