Question

Proof for the trigonometric ratios if theta= 45​

Answer 1

Answer:

hi mate

the question is incomplete

Answer 2

Step-by-step explanation:

general rule of arithmetic is a∗1=a.a∗1=a.

Do you accept that?

Another general rule is

b≠0⟹bb=1.b≠0⟹bb=1.

Still following?

Finally, a third rule of arithmetic is

c∗d=0⟺c=0 or d=0.c∗d=0⟺c=0 or d=0.

Any problem so far?

By definition, √p∗√p=p.By definition, p∗p=p.

∴p≠0⟹√p≠0⟹√2≠0 by third rule.∴p≠0⟹p≠0⟹2≠0 by third rule.

sin(45o)=1√2⟹sin(45o)=1√2∗1 by first rule.sin(45o)=12⟹sin(45o)=12∗1 by first rule.

sin(45o)=1√2∗1⟹sin(45o)=1√2∗√2√2 by second rule.sin(45o)=12∗1⟹sin(45o)=12∗22 by second rule.

∴sin(45o)=1∗√2√2∗√2=√22.