Math, asked by naren9377, 11 months ago

. IF

ABC is right angled at B, what is the value of sin(A + C)?
plz tell me in breif ​

Answers

Answered by JoshuaFerns
35

Ok so listen up, imma make it as brief as possible

given a triangle abc, right angled at b

so by angle sum, a + b+ c = 180

a + 90 + c = 180

therefore, a + c = 90 degrees.

therefore, sin( a+c) = sin (90)

and we all know sin90 = 1

Therefore answer is 1.

Really easy yar, dont take tension, cheer up and study well :)

Mark as brainliest if understood :))

Answered by Sanav1106
5

The value of Sin(A+C) is 1.

GIVEN: ABC is right angled at B
TO FIND: The value of sin(A + C)
SOLUTION:
As we are given in the question,

A right-angled triangle ABC where the right angle is present at point B.

Now,

Using the Angle Sum Property of Triangle

Angle A + Angle B + Angle C = 180

Angle A + 90 + Angle C = 180

Angle A + Angle C = 90

Therefore,

Taking Sin on both sides.

Sin (A + B ) = Sin 90

Sin (A + B ) = 1

Therefore, the value of Sin(A+B) = 1

#SPJ2

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