Question

2 cos²60° + 3 sin?45° - 3 sin230° + 2 cos290°​

Answer 1

Step-by-step explanation:

cos 60 = 1/2

sin 45 = 1/√2

sin 30 = 1/2

cos 90 = 1

2(1/2)² + 3(1/√2)² - 3 ( 1/3)² + 2(1)²

1/2 + 3/2 - 1/3 + 2

3+3-2+12/6

16/6

8/3

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Answer 2

2 cos²60° + 3 sin?45° - 3 sin230° + 2 cos290°

Solution :-

5/4 Answer

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Some important formula to memorize :-

1. sin (π/2 – A) = cos A & cos (π/2 – A) = sin A
2. sin (π/2 + A) = cos A & cos (π/2 + A) = – sin A
3. sin (3π/2 – A) = – cos A & cos (3π/2 – A) = – sin A
4. sin (π + A) = – sin A & cos (π + A) = – cos A
5. sin (2π – A) = – sin A & cos (2π – A) = cos A
6. sin (2π + A) = sin A & cos (2π + A) = cos A
7. sin(2x) = 2sin(x) • cos(x) = [2tan x/(1+tan2 x)]
8. cos(2x) = cos2(x)–sin2(x) = [(1-tan2 x)/(1+tan2 x)]
9. Tan 3x = [3tanx-tan3x]/[1-3tan2x]

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