Question

The value of sin 50° - sin 40° is positive. True or false​

Answer 1

Answer:

The statement is true. Explanation: Because the statement denotes that sine fifty degree is greater than sine forty degree.

Answer 2

GIVEN : Sin 50- sin40

TO FIND: The value of sin 50° - sin 40° is positive

SOLUTION:

Formula for $Sin A - Sin B = 2 cos(\frac{A+B}{2})sin(\frac{A-B}{2})$

As per the formula $Sin 50 - Sin 40 = 2 (Cos(\frac{50+40}{2} )Sin(\frac{50-40}{2})$

$Sin 50 - Sin 40 = 2 (Cos(\frac{90}{2} )Sin(\frac{10\\}{2})$

Sin 50 - Sin 40 = 2 cos(45)sin(5)

Values of cos 45 = 0.70710678118

value of sin 5 = 0.08715574274

Substituting the values such that

Sin 50 - Sin 40 = 2 *0.70710678118 * 0.08715574274

Therefore the value is 0.12325683343

Hence The value will be positive

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