Math, asked by Zoravar20, 1 year ago

solve krdo yrr koi toh....

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Answered by ghoshutpal001
1

Answer:

Step-by-step explanation:

Please refer ncert please.....


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Zoravar20: jd aunda ni ta Ans wi na Kra kr9
ghoshutpal001: matlab
Answered by SEHANSHAH
2

hlo friend HERE IS UR ANSWER

We know that Sum of interior angles in a triangle equals to 180°,

=> a + b + c = 180°,

Simplifying,

=> b+c = 180° - a,

=> (b+c)/2 = (90° - a/2),

We know these formulas :

(1) Cosec ( 90° - A) = Sec A,

(2) Sec² A - Tan² = 1,

Given that,

Required To Prove : Cosec² ((b+c)/2) - Tan² (a/2) = 1,

Simplifying LHS to prove,

=> We can write (b+c)/2 as 90-a/2 Remember?

=> Cosec² (90-a/2) - Tan² (a/2),

=> We know Cosec A = Sec(90-A) and vice versa,

=> Sec² (a/2) - Tan² (a/2),

We know Sec² A - Tan² A = 1, Remember

=> Sec² (a/2) - Tan² (a/2) = 1,

We have got the LHS as 1, by simplifying it, And what we needed to prove was, LHS = 1, and we have done it !

Therefore, HENCE Proved it !

Hope you understand

I HOPE IT HELPS YOU PLZ

PLZ MARK IT AS A BRAINLIEST


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