Question

If sin A - COSA - / the find
the value of
sin A I COSA​

Answer 1

Answer:

sinA−cosA=0

⇒A=cosA

⇒tanA=1

⇒A=4π

sin4A+cos4A=sin44π+cos44π=(21)4+(21)4=41+41=21.

Answer 2

Answer:

If sin A - CosA = 1 then the value of sinACosA​ = 1

Step-by-step explanation:

The question may be sinA-cosA=1,then find the value of sinA.cosA

sinA-cosA=1,

squaring on both sides

(sinA-cosA)² = 1²

sin²A + cos²A - 2sinAcosA = 1

we know sin²A + cos²A =1  from trignometric identity

1 - 2sinAcosA =  1

2sinAcosA = 1+1

sinAcosA = 1

If sin A - CosA = 1 then sinAcosA = 1

Trignometric identity

sin²A + cos²A =1 or 1 - cos²A =  sin²A

sec²A-tan²A = 1 or 1 + tan²A = sec²A

Cosec²A-cot²A = 1 or 1 + cot²A = Cosec²A

Formulae

sin (x + y) = sin x cos y + cos x sin y

sin (x - y) = sin x cos y – cos x sin y

cos (x + y) = cos x cos y – sin x sin y

cos (x – y) = cos x cos y + sin x sin y