Question

if Angle B = 90 degree of triangle ABC then the value of Sin (A + c) is

Answer 1

B = 90 
A+B+C = 180
A+C = 180-90
A+C = 90
sin90 = 1

Answer 2

If angle B = 90° of triangle ABC then the value of sin (A + C) is 1

Given : angle B = 90° of triangle ABC

To find : The value of sin (A + C)

Solution :

Step 1 of 2 :

Find A + C

Here it is given that angle B = 90° of triangle ABC

We know that for a triangle sum of three angles = 180°

∴ A + B + C = 180°

⇒ A + 90° + C = 180°

⇒ A + C = 90°

Step 2 of 2 :

Find the value of sin (A + C)

∴ sin (A + C)

= sin 90°

= 1

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