Question

find the general solution of following
sec x =√2

Answer 1

sec x = √2
sec x = sec 45
x=45

Answer 2

Answer: x=45°

Step-by-step explanation:

• To solve this problem we need to know the trigonometric tables of standard angles of sin, cos, tan, cosec, sec and cot.

• We know that inverse of sin is called cosec, inverse of cos is known as sec and the inverse of tan is known as cot.

• Values of all the standard angles of Sin, Cos and Tan are given in the table attached.

• Given that, $Sec\ x=\sqrt{2}$

        $As\, Cos\ 45=\frac{1}{\sqrt{2} }$

       ∴ Sec 45=$\sqrt{2}$

       ⇒ $Sec\ x=Sec\ 45$

       ⇒ x = 45°.

• So, the value of x for which the value of Sec will be $\sqrt{2}$ comes to be 45°.

• Hence, the required solution of the given equation comes to be x=45°.

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