Question

Evalute without trignometric values.tan20°tan40°tan50°tan70

Answer 1

Answer:

1

Step-by-step explanation:

Using properties of trigonometry:

tanA = cot( 90 - A )

tanA = 1/cotA

= > tan20°tan40°tan50°tan70°

= > tan20°tan70°tan50°tan40°

tan70° = cot( 90° - 70° ) = cot20°

tan40° = cot( 90° - 40° ) = cot50°

= > tan20°.cot20°. tan50°.cot50°

cot20° = 1/tan20°

cot50° = 1/tan50°

= > tan20°(1/tan20°) . tan50°(1/tan50°)

= > 1*1

= > 1

Answer 2

hope this helps

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