Question

3 (tan²26 - cosec²64)

Find the value of the above trigonometric ratio

Answer 1

Tan(26°)=cot(90-26) = cot(64°)

so, 3tan²(26)=3cot²(64)

so , 3tan²(26)–3cosec²(64) , can be written as

= 3cot²(64)–3cosec²(64) Since, cot²x - cosec²x = 1

= 3[cot²(64)–cosec²(64)] = 3(-1) = -3

the answer is -3