Question

In triangle ABC is a right angled at C then the value of Sin A + B is

Answer 1

Angle a +angle b +angle c=180degree

So,a+b=90

So,sin90=1

Answer 2

The value of Sin (A+B) will be equal to 1

Given:

The triangle ABC is right-angled.

∠C = 90°

To Find:

The value of Sin (A+B)

Solution:

It's fairly simple to find the answer to this question, as seen below.

We know that triangle ABC is a right-angled triangle with <C = 90°

We know that,

Sum of all the angles in any triangle = 180°

That is,

∠A + ∠B + ∠C = 180°

∠A + ∠B + 90° = 180°

∠A + ∠C = 180° - 90°

Hence, ∠A + ∠B = 90°

Then, by applying Sin on both sides,

Sin ∠A+ Sin ∠B = Sin 90

Sin (A+B) = Sin 90

We know that Sin 90 = 1

Therefore,

Sin (A+B) = 1

Hence, the value of (Sin A+B) will be equal to 1.

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