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

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Answer 1 · 2017-06-12T17:06:36

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

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

= $1/2+sqrt3/2+1/sqrt3+sqrt3+2/sqrt3+2$

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

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

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

= $(5sqrt3)/2+1$

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