Cos10°-sin10°/cos10°+sin10°=tan35°
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Answered by
53
LHS =( cos10° - sin10)/( cos10° + sin10°)
= { cos(90-80)-sin10° }/{ cos(90-80) + sin10° }
= { sin80° - sin10° }/{ sin80° +sin10° }
= 2cos45°.sin35°/2sin45°.cos35°
= sin35°/cos35°
= tan35° = RHS
= { cos(90-80)-sin10° }/{ cos(90-80) + sin10° }
= { sin80° - sin10° }/{ sin80° +sin10° }
= 2cos45°.sin35°/2sin45°.cos35°
= sin35°/cos35°
= tan35° = RHS
Answered by
3
Step-by-step explanation:
L.H.S= {cos(90-80) -sin10}/{cos(90-80) +sin10}
= (sin80_sin10)/(sin80+sin10)
= 2cos45.sin35/2sin45.cos35
= sin35/cos35
= tan35. L.H.S
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