Question

Evaluate the following:
sin 15° cos 75° + cos 15° sin 75°
tan 5º tan 30° tan 35° tan 55° tan 85°​

Answer 1

Answer:

sin 15 × cos 75 + cos 15 × sin 75 / tan15 × tan 30 × tan35 × tan55 × tan 85

= sin 15 × cos(90-15) + cos(90-75) × sin 75 / tan30 × tan35 × cot35 × tan15 × cot15

= sin15 × sin15 + sin75 + sin75 / 1/√3 ×1

= sin^2 15 + sin^2 75 × √3

= sin^2 15 + cos^2 15 × √3

= 1 ×√3

= √3

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Step-by-step explanation:

Answer 2

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