Math, asked by mugeshdeaf76, 11 months ago

the value of sin square 30 degree minus cos square 30 degree is equal to​

Answers

Answered by sparshraghav123
33

Step-by-step explanation:

1/2 - ^3/2

1/4-3/4

-1/2 answer

Answered by Afreenakbar
0

The value of sin^2(30 degrees) - cos^2(30 degrees)is equal to -1/4

The value of sin^2(30 degrees) - cos^2(30 degrees) can be found by using the trigonometric identity:

sin^2(x) - cos^2(x) = 1 - 2cos^2(x)

We know that cos(30 degrees) = √3/2 and sin(30 degrees) = 1/2. So,

sin^2(30 degrees) - cos^2(30 degrees) = (1/2)^2 - (√3/2)^2

=1/4 - 3/4

= -1/4

So, the value ofsin^2(30 degrees) - cos^2(30 degrees) is equal to -1/4

  • In trigonometry, sine (sin) is a function that describes the ratio between the side of a right triangle opposite an angle (theta) and the hypotenuse (the longest side of the triangle) of the triangle. The sine of an angle is represented by the symbol sin(θ).
  • For example, if we have a right triangle with angle θ and opposite side of length 'a' and hypotenuse of length 'c', then the sine of the angle θ is defined as the ratio of the opposite side to the hypotenuse: sin(θ) = a/c.

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