Question

If sin77=x than the value of tan 77 is

Answer 1

Step-by-step explanation:

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Answer 2

If sin 77 = x, then the value of tan 77 is x / √(1 - x²).

• Given value of sin 77 is x.

• We know that, sin²z + cos²z = 1.

=> cos²z = 1 - sin²z

=> cos z = √(1 - sin²z)

• Therefore, cos 77 = √(1 - sin²77)

=> cos 77 = √{1 - (sin 77)²}

=> cos 77 = √(1 - x²)

[ Putting sin 77 = x ]

• Now, tan z = sin z / cos z

Putting z = 77, we get,

tan 77 = sin 77 / cos 77

=> tan 77 = x / √(1 - x²)

∴   The value of tan 77 is x / √(1 - x²).