Question

If sec thetha + tan thetha= √3, 0< thetha < pi , then thetha is equal to...​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

thetha = pi/6

Step-by-step explanation:

sec thetha + tan thetha= √3

=> sec thetha = √3 - tan thetha

On squaring both the sides :

sec^2thetha = (√3 - tan thetha)^2  (1)

As we know that :

[ sec^2thetha = 1 + tan^2thetha ]

Now, from equation (1)

=> 1 + tan^2thetha = 3 - 2√3tan thetha + tan^2thetha

=> -2 = -2√3tan thetha

=> tan thetha = 1/√3

=> thetha = 30

=> thetha = pi/6