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find the general value of the equation tan²a+cot²a=2

Jointy rost , 8 Years ago
Grade 11
anser 2 Answers
SRC Jayanth

Last Activity: 8 Years ago

tan²a+cot²a=2

cot²a+2 = 4tan²a+
tan²a+cot²a + 2tana cota = 4
[tana + cota ]2=4
 
tana + (1/ tana) =2
tan²a + 1 = 2 tana
sec2 a = 2 tana
simplify by writing interms of sin &cos
1=2sina cosa
sin2a = 1
a=45o
 

 

SRC Jayanth

Last Activity: 8 Years ago

in the second step
i have written wrong
tan²a+cot²a+2 = 4
this is correct :- tan²a+cot²a + 2= 4
i has posted wrong

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