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What is the exact value of this?

What is the exact value of this?-example-1

1 Answer

4 votes

Answer:

Correct answer: second quadrant angle is 3π/4

fourth answer (2√2 + π) / 4

third quadrant angle is 5π/4

first answer (-2√2 + π) / 4

Explanation:

Your question does not define the quadrant in which the angle is of the

cos⁻¹ (- √2/2).

If it is in the second quadrant then the angle is 3π/4 and if it is in the third quadrant then the angle is 5π/4

1) second quadrant angle is 3π/4

sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 3π/4) + tan⁻¹ 1 =

= √2/2 + π/4 = (2√2 + π) / 4

2) third quadrant angle is 5π/4

sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 5π/4) + tan⁻¹ 1 =

= - √2/2 + π/4 = (-2√2 + π) / 4

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User Sskates
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