Math, asked by veer20, 1 year ago

prove that sec^2(90-x)-1/cot^2(90-x)=1

Answers

Answered by rohitkumargupta
8
I hope u understand very well
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veer20: ohhh
rohitkumargupta: or apka
veer20: punjab
rohitkumargupta: ok
veer20: hmm
rohitkumargupta: you have any questions of trigonometry plz ask me
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rohitkumargupta: i think question ni. 137 is wrong
Answered by Bunti360
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 !
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