Question

Happy Holi!!
When is an equation called ‘an identity’? Prove the trigonometric identity 1+tan²A=sec²A.

Answer 1

Answer:

Happy Holi

Step-by-step explanation:

When an equation is used to solve other equation it becomes an identity.

Answer 2

$\huge \sf \purple {Question :-1)}$

When is an equation called ‘an identity’?

$\huge \sf\purple{Answer:-}$

$\huge\star$ If 2 expressions are equal for all the values of same parameter, then the statement of equality between the 2 expressions is called an identity.

$\huge\star$Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll always get a true statement.

$\huge \sf\pink{Question :-2)}$

Prove the trigonometric identity 1+tan²A=sec²A.

$\huge \sf\pink{Answer :-}$

Refer to the attachment :-)