Math, asked by SnehaThapalyal, 9 months ago

if root(3) tanA=1, then find the value of sin^2A-cos^A?

Answers

Answered by AmandeepMohanty
2

Answer:

-1/2 is the answer.

Step-by-step explanation:

√3 tanA = 1

tanA = 1/√3

we know that tan30°= 1/√3

tanA = tan 30°

A = 30°

putting value of A=30° in sin²A - cos² A

sin²A - cos²A = sin² 30° - cos²30°

= (1/2)² - (√3/2)²

= 1/4 - 3/4

= (1-3) / 4

= -2/4 = -1/2

Hence, sin²A -cos² A = (-1/2)

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