Fatima wants to find the value of sine theta , given cotangent theta is equal to 4 sevenths Which identity would be best for Fatima to use?

The identity 1 + cotangent² θ = cosecant² θ directly uses the given cotangent value. Substituting cotangent θ = 4/7 gives cosecant² θ = 1 + (4/7)² = 65/49, so Fatima can find cosecant θ and then take its reciprocal to get sine θ. Therefore, the best choice is “1 plus cotangent squared theta is equal to cosecant squared theta.”

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