Question

if tan square A = cos square B minus sin square B then prove that cos squareB minus sin square B equal Tan square A​

Answer 1

Step-by-step explanation:

FIRST METHOD:-

GIVEN

TAN²A= COS²B- SIN²B

= COS 2B...................(1)

AGAIN

COS²B-SIN²B

= COS 2B

= TAN²A .. FROM(1)

PROVED

SECOND METHOD:-

according to the collective property of R

C= A+B <=> A+B= C

USING THIS PROPERTY

IF TAN²A= COS²B -SIN²B= COS²B+(-SIN²B)

<=> COS²B+(-SIN²B)= COS²B-SIN²B

= TAN²A

PROVED