Question

3 sec 2 thetta =2 root 3 find the value for theeta

Answer 1

Given :  3 Sec2θ = 2√3

To Find : value for  θ

Solution:

3 Sec2θ = 2√3

Dividing both sides by 3

=> Sec2θ = 2√3 ./3

=> Sec2θ = 2/√3

secx = 1/Cosx

=> 1/Cos2θ = 2/√3

=> Cos2θ = √3 /2

=> Cos2θ = Cos 30°

=> 2θ = 30°

=>  θ = 15°

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Answer 2

Answer:

3 Sec2θ = 2√3

Dividing both sides by 3

=> Sec2θ = 2√3 ./3

=> Sec2θ = 2/√3

secx = 1/Cosx

=> 1/Cos2θ = 2/√3

=> Cos2θ = √3 /2

=> Cos2θ = Cos 30°

=> 2θ = 30°

=>  θ = 15°

Step-by-step explanation: