Question

2 sin 43°/cos 47° - cot 30°/tan 60° - √2 sin 45°​

Answer 1

1st term:

2 (sin43⁰/cos47⁰)

=> 2 * (sin43⁰/cos(90⁰-43⁰))

=> 2 * (sin43⁰/sin43⁰)

=> 2

2nd term:

cot30⁰/tan60⁰

=> cot(90⁰-60⁰)/tan60⁰

=> tan60⁰/tan60⁰

=> 1

3rd term:

✓2* sin45⁰

=> ✓2 * (1/✓2)

=> 1

Hence, now:

2 - 1 - 1 = 0

Hence 0 is the final answer.

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Answer 2

Answer:

1st term:

=>2(sin43°/cos47°)

=>2×(sin43°/cos(90°-43°))

=>2×(sin43°/sin43°)

=>2

2nd term:

=>cot30°/tan60°

=>cot(90°-60°)/tan60°

=>tan60°/tan60°

=>1

3rd term:

=>Root 2×sin45°

=>Root 2×(1/root2)

=>1

2-1-1=0.

Step-by-step explanation:

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