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Grade: 10
        
If A is acute and Sec squareA+secA=6,then find value of A
one year ago

Answers : (1)

kkbisht
90 Points
							
solution:
            Given Trig- Equation can be written as  1/cos2A   + 1/CosA  =6 
=> 1+CosA=6Cos2A  => 6Cos2A-CosA-1=0 => (3CosA +1).(2CosA-1)=0 
 => either 2CosA-1=0 or 3CosA=-1 
 But A is given to be acute angle =>CosA will be positive  => 2CosA-1=0 => CosA=1/2 => A=60 degree or \pi/3 radian
 
kkbisht
one year ago
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