Question

If sin a + cos a =1, prove that sin a - cos a = +1.​

Answer 1

your answer is in above image

please mark as brainliest

i just need 3 more brainliest answer to upgrade

Answer 2

Answer:

sin a + cos a = 1

squaring both sides,

[ (a+b)² = a²+b²+2ab]

sin²a + cos²a + 2(sin a)(cos a) = 1

1 + 2(sin a)(cos a) = 1

2(sin a)(cos a) = 0 -------1

ATQ,

sin A - cos A = +1

squaring both sides,

[ (a-b)² = a²+ b² + 2ab ]

sin²A + cos²A - 2(sin a)(cos a) = 1

sin²A + cos²A - 0 = 1 [from EQ. 1]

(sin A - cos A)² = 1

[transfer root]

(sin A - cos A) = √1

sin A - cos A = ± 1

H.P.