Multiple choice

If A = 45°, then find the value of (sin A × cot A)2 + (cos A × tan A)2

  1. 2

  2. 0

  3. 0.5

  4. 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For A=45, sin A = cos A = 1/sqrt(2) and tan A = cot A = 1. Expression: (1/sqrt(2) * 1)^2 + (1/sqrt(2) * 1)^2 = 1/2 + 1/2 = 1.

AI explanation

Substitute A equals 45 degrees into the expression. The term sin 45 times cot 45 equals 1 divided by root 2 times 1, which when squared is 1 divided by 2. The term cos 45 times tan 45 also equals 1 divided by root 2 times 1, which when squared is 1 divided by 2. Adding these two results gives 1 divided by 2 plus 1 divided by 2, which equals 1.

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