Question

what is the value of Sin 765°​

Answer 1

Answer:

1/√2

sin 765° Summary: The value of sin 765° = 1/√2. We know that the values of sin x repeat after an interval of 360° or 2 π.

Answer 2

Given :

An expression $sin765$°.

To find :

The value of $sin765$°

Step-by-step explanation:

• The value of $sin765$°.
• The value of sine becomes 0 after a whole cycle.
• Sine value becomes 0 when the angles becomes $2\pi$
• The value $765$ can be written as

        $765=720+45$

• We already know that $720$ can be written as $4\pi$.
• So the expression can be written as

        $sin(765$$)$°$=sin(4\pi +45)$

• $4\pi$ can be replaced by 0.
• we know that,

        $sin(45)$°$=\frac{\sqrt{3} }{2}$

• The value of sine will remain as positive.
• Since, the angle $45$ falls in the first quadrant.
• Sine is positive in the first quadrant.
• So, therefore the value of $sin(765)$° $=\frac{\sqrt{3} }{2}$

Final answer :

The value of $sin(765)$°$=\frac{\sqrt{3} }{2}$