Find the best and easy way to solve the ncert class 10 introduction to trigonometry of exercise 8.1 question no. 11(1), its very tricky question please give me the best solution of this question. State whether the following are true or false. Justify your answer. (i) The value of tan A is always less than 1.
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State whether the following are true or false. Justify your answer. (i) The value of tan A is always less than 1. Q.11(1)
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The value of tan A is always less than 1.
Answer: False
Proof: In ΔMNC in which ∠N = 90∘,
MN = 3, NC = 4 and MC = 5
Value of tan M = 4/3 which is greater than.
The triangle can be formed with sides equal to 3, 4 and hypotenuse = 5 as it will follow the Pythagoras theorem.
MC2=MN2+NC2
52=32+42
25=9+16
25 = 25