Find the value of #sin30^@+cos30^@+tan30^@+cot30^@+sec30^@+csc30^@#?

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Answer 1 · 2017-06-12T17:06:36

#sin30^@+cos30^@+tan30^@+cot30^@+sec30^@+csc30^@=(5sqrt3)/2+1#

#sin30^@+cos30^@+tan30^@+cot30^@+sec30^@+csc30^@#

= #1/2+sqrt3/2+1/sqrt3+sqrt3+2/sqrt3+2#

= #(sqrt3+(sqrt3)^2+2+2(sqrt3)^2+4+sqrt3)/(2sqrt3)#

= #(sqrt3+3+2+6+4+sqrt3)/(2sqrt3)#

= #(15+2sqrt3)/(2sqrt3)#

= #(5sqrt3)/2+1#