Math, asked by sree13879, 11 months ago

sin square 2 pi by 3 + cos square pi by 6 minus tan square 3 pi by 4 ​

Answers

Answered by amitnrw
23

Answer:

Sin²(2π/3) + Cos²(π/6) - Tan²(3π/4) = 1/2

Step-by-step explanation:

sin square 2 pi by 3 + cos square pi by 6 minus tan square 3 pi by 4

Sin²(2π/3) + Cos²(π/6) - Tan²(3π/4)

= Sin²(π - π/3) + Cos²(π/6) - Tan²(π - π/4)

= Sin² (π/3) + Cos²(π/6) - (-Tan²(π/4))

= (√3/2)² +  (√3/2)²  - (-1)²

= 3/4 + 3/4 - 1

= 2/4

= 1/2

Sin²(2π/3) + Cos²(π/6) - Tan²(3π/4) = 1/2

Answered by rockadvik
4

Answer:

π = 180

sin square 120° + cos square 30° + tan square 135°

cos square 30° - sin square 60° + tan square 45°

ans = 1÷ 2

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