Question

sin15 cos75 plus sin75 cos15 divided by tan5tan30tan35tan55tan85​ please someone tell correct answer

Answer 1

See the pinned image for your answer...I hope u know the formulas...I just applied it ...

Answer 2

Answer:

√3

Step-by-step explanation:

Numerator:

sin15°cos°75 + sin75°cos15° = sin(90-15)cos75 + sin75°cos(90-15)

*Complementary angles—sin(90-ϑ) = cosϑ*

= cos75°cos75° + sin75°sin75°

= cos²75° + sin²75°

= 1

*Identity—sin²ϑ - cos²ϑ = 1*

Denominator:

tan5°tan30°tan35°tan55°tan85° = tan(90-5) tan30° tan(90-35) tan 55° tan85°

= cot85° tan 30° cot55° tan55° tan85°

= tan30°

= 1/√3

sin15°cos°75 + sin75°cos15 / tan5°tan30°tan35°tan55°tan85° = 1 ÷ 1/√3

= 1 × √3

= √3

Hope it helps you:)