Question

If sina + Cosa = 1, possible values of a will be?​

Answer 1

Answer:

Step-by-step explanEq1:sin(A)+cos(A)=1=>a/c+b/c=1(given)

Eq2:a2+b2=c2(P.Theorem)

You may be wondering at this point how we can solve a system of 3 variables with 2 equations. Well, we can simply just fix one of the side lengths for convenience and solve for the other two. That is what I did in the above picture, setting a = 1.

Now we solve for b, c:

Eq1:a+b=c

b=c−1

Eq2:a2+b2=c2;

b2=c2−1

So, subbing c - 1 for b, we have:

(c−1)2=c2−1

c2−2c+1=c2−1

−2c+1=−1

2c=2=>c=1;b=c−1=0;a=1ation: