Question

Since sin^2a+ cos^2a=1
Therefore is sin a+ cos a =1?
Prove Why/ Why not
URGENT!!​

Answer 1

Answer:

No,sinA+cos A not equal to 1 as the sum of the squares is never equal to the sum of the roots of the numbers.

Example:-

Let's assume the sides as 3,4,5

Solving we get:

${(\frac{3}{4} })^{2} + {( \frac{4}{5}) }^{2} \: \: is \: \: not \: equal \: \: to \: \: \frac{3}{4} + \frac{4}{5}$

(3/4+4/5

(3(5)+4(4))/20

(15+16)/20

31/20)

Since,LHS not equal to RHS

Hence,

sin^2 A+cos^2 A is not equal to sin A +cos A