What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x

The basic identity used is .

Solution:

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

Step one:

The sum of squares of Sine and Cosine is 1 which is:

On substituting the above identity in the given expression, we get,

Step two:

The reciprocal of cosine is secant which is:

On substituting the above identity in equation (1), we get,

Thus, RHS is obtained.

Using the identity , the given expression is verified.

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step-by-step explanation:

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