Question

if tan X =1 find sec x​

Answer 1

Question : If tan x = 1 , find sec x

To find : sec x

Given : tan x = 1

Identity used : tan²x + 1 = sec²x

Solution :

tan²x = (tan x)² = 1²

therefore,

=> tan²x + 1 = sec²x

putting value of tan²x in above equation,

we get,

=> (1) + 1 = sec²x

=> sec²x = 2

=> (sec x)² = 2

=> sec x = √2

Answer : sec x = √2

Additional information :

• sin²x + cos²x = 1
• cot²x + 1 = cosec²x
• tan²x + 1 = sec²x