prove that sec^2(90-x)-1/cot^2(90-x)=1
Answers
Answered by
8
I hope u understand very well
Attachments:
veer20:
ohhh
Answered by
8
We know that,
Cot² A = 1/(Tan² A) and vice versa,
And we also know that,
Sec² A - Tan² A = 1,
Now, Given that, Sec²(90-x) - 1/(Cot² (90-x)) = 1,
Simplifying the LHS,
=> Sec² (90-x) - Tan² (90-x), Let 90-x = A for our convinience,
=> Sec² A - Tan² A, From the above formulas, We can right that, LHS = 1,
Therefore, Hence Proved !
Hope you understand, Have a Great Day, Merry Christmas !
Thanking you, Bunti 360 !
Cot² A = 1/(Tan² A) and vice versa,
And we also know that,
Sec² A - Tan² A = 1,
Now, Given that, Sec²(90-x) - 1/(Cot² (90-x)) = 1,
Simplifying the LHS,
=> Sec² (90-x) - Tan² (90-x), Let 90-x = A for our convinience,
=> Sec² A - Tan² A, From the above formulas, We can right that, LHS = 1,
Therefore, Hence Proved !
Hope you understand, Have a Great Day, Merry Christmas !
Thanking you, Bunti 360 !
Similar questions