Question

4a²sin²(3pi/4)-3(atan225)²+(2acos315)²​

Answer 1

4a² sin² (3π/4) - 3( a tan 225 ) ² + ( 2 a cos 315)²

→ 3π/4 can be written as π - π/4

→ 225 can be written as 270 - 45°

→ 315 can be written as 360 - 45°

Replacing these values -

→ 4a² sin²(π - π/4) - 3 a² tan² ( 270-45°) + 4a² cos²(360- 45°)

→ (π - π/4) lies in 2nd quadrant where sin is positive

→ (270-45) lies in 3rd quadrant where tan and cot is positive.

→ (360-45) lies in 4th quadrant where cos is positive.

→ 4a² sin² π/4 - 3a² cot²45° + 4a² cos ² 45°

→ 4a² × ½ - 3a² × 1 + 4a² × ½

→ 2a² - 3a² + 2a²

→ 4a² - 3a²

→ a²

Answer 2

Step-by-step explanation:

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