Question

यदि tanA = 1 तो (cos A + sin A) का मान ज्ञात कीजिए।​

Answer 1

Answer:

tanA = 1 shows that angle A = 45 degree

Then sin45 =1/√2 and cos 45=1/√2

sin 45 + cos45 = 1/√2 + 1/√2 = 2/√2 = √2

Alternately

tan^A = 1

1 + tan^2 A = 1 + 1 = 2

sec^2A = 2

1/cos^2A = 2

cos^2A = 1/2

cosA = 1/√2

sin^2A = 1 - cos^2A = 1 - (1/2) = 1/2

sinA = 1/√2

sinA + cos A = 1/√2 + 1√2 = 2/√2 = √2