Question

if 3 cot A=4, check whether 1 - tan^2 A \
Oxf3 cot A = 4, check whether
A
1 + tan’A
cos? Asin A or not..​

Answer 1

Answer:

If 3 cot A = 4,

cot A =4/3

tan A =3/4

LHS

1-tan²A/1+tan²A

1-(3/4)²/1+(3/4)²

1-9/16/1+9/16

16-9/16+9

7/25

If tan A= 3/4

then sin A=3/5 (from trigonometric functions)

cos A= 4/5

So,apply these values in RHS

cos²A-sin²A

(4/5)²-(3/5)²

16/25-9/25

16-9/25

7/25

Hence RHS= LHS

yes,for the given value both LHS =RHS

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