1-tan 2 15 / 1+tan 2 150
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Answer :
We know that,
tan150° = tan(180° - 30°) = - tan30° = - 1/√3
⇒ tan²150° = 1/3
∴ (1 - tan²150°)/(1 + tan²150°)
= (1 - 1/3)/(1 + 1/3)
= {(3 - 1)/3}/{(3 + 1)/3}
= (2/3)/(4/3)
= 2/4
= 1/2
Another method.
∴ (1 - tan²150°)/(1 + tan²150°)
= cos(2 × 150°)
= cos300°
= cos(360° - 300°)
= cos60°
= 1/2
#MarkAsBrainliest
We know that,
tan150° = tan(180° - 30°) = - tan30° = - 1/√3
⇒ tan²150° = 1/3
∴ (1 - tan²150°)/(1 + tan²150°)
= (1 - 1/3)/(1 + 1/3)
= {(3 - 1)/3}/{(3 + 1)/3}
= (2/3)/(4/3)
= 2/4
= 1/2
Another method.
∴ (1 - tan²150°)/(1 + tan²150°)
= cos(2 × 150°)
= cos300°
= cos(360° - 300°)
= cos60°
= 1/2
#MarkAsBrainliest
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