Grade 10Trigonometry
If A is acute and Sec squareA+secA=6,then find value of A
If A is acute and Sec squareA+secA=6,then find value of A
1 Answer
kkbisht
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 
/3 radian
kkbisht
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