Question

Find the value of
cos 38° cosec 52°
tan 18° tan 35º tan 60° tan 72° tan 55​

Answer 1

Answer:

Cos 38° ×1/Sin 52

Cos 38°×1/ Sin 90-52

Cos 38°×1/Cos38

Therefore it is 1

Tan18°×Tan35°×root3×Tan 90-72×Tan90-55 [Substituted Tan 60 value i.e, root 3]

Tan 18°×Tan35°×root3×Tan18°×Tan35°

Tan18° ×Tan35°×root3×1/cot18×1/cot35

1×1×root 3 × 1×1 { Cancel Tan and cot values except root 3 as tan × cot is equal to 1}

Therefore the answer is root3