△PQR is a right angled triangle, ∠Q = 90 degree, PQ = 12 cm, QR = 5 cm. What is the value of cot P − tan R?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0.
△PQR is a right-angled triangle, ∠Q = 90°, PQ = 12 cm, QR = 5 cm
We apply Pythagoras theorem to find PR (hypotenuse):
PR² = PQ² + QR² = 12² + 5² = 144 + 25 = 169
⇒ PR = √169 = 13 cm
cot ∠P = PQ / QR = 12 / 5
tan ∠R = PQ / QR = 12 / 5
So,
cot ∠P − tan ∠R = 0