Question

tan80° • tan75° • tan15° tan10°=1
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Answer 1

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Step-by-step explanation:

tan80° • tan75° • tan15° tan10°

= tan( 90°- 10° )• tan( 90°- 15° ) • tan15° tan10°

= cot15° cot10°. tan15° tan10°

= cot15°. tan15°. cot10°. tan10°

= 1 × 1

= 1

Answer 2

Step-by-step explanation:

tan 10° tan 15° tan 75° tan 80° = 1

= tan 10° tan 15° tan ( 90° - 15°) tan(90° - 10° )

= tan 10° tan 15° cot 15° cot 10°

= tan 10° * 1 / tan 10° * tan 15° * 1 / tan 15°

= 1 * 1

= 1