Math, asked by mathavanharini9895, 1 year ago

find the value of sin 25pi/3 using trigonometric function

Answers

Answered by saumya20034
16

Answer:

hey mate your answer is here......

➡25π/3

➡25×180/3

➡25×60

➡ 1500

➡sin (4π+π/3)

➡sinπ/3

➡√3/2

hope this will help you buddy ❤❤

Answered by JeanaShupp
6

The value of   \sin \dfrac{25\pi}{3}   is   \dfrac{\sqrt{3} }{2}

Step-by-step explanation:

To find the value of  \sin \dfrac{25\pi}{3}

according to question we have

\sin \dfrac{25\pi}{3}  

which can also be written as

\sin(8 \pi + \dfrac{\pi}{3})

Now sin (n\pi +\theta ) = \sin \theta and (8 \pi + \dfrac{\pi}{3}) lies in first quadrant

therefore

\sin(8 \pi + \dfrac{\pi}{3}) = \sin \dfrac{\pi}{3} = \dfrac{\sqrt{3} }{2}

Hence, the value of   \sin \dfrac{25\pi}{3}   is   \dfrac{\sqrt{3} }{2}

#Learn more

Cos 10π/13 + Cos 8π/13 + Cos 3π/13 + Cos 5π/13 = 0 ......Prove it

brainly.in/question/1100713

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