Choose the correct option and justify your choice : 1 tan245°/1+tan245° = ? (A) tan 90° (B) 1 (C) sin 45° (D) 0

Answer: (D) 0

Trigonometry Values Table

Trigonometry values for angles 0°, 30°, 45°, 60°and 90°, with respect to sin, cos, tan, cot, sec, cosec functions, taking an example of the right-angle triangle.

Angle

00

300 450 600

900

Sin θ 0 1/2 1/√2 √3/2 1
Cos θ 1 √3/2 1/√2 1/2 0
Tan θ 0 1/√3 1 √3
Cot θ √3 1 1/√3 0
Sec θ 1 2/√3 √2 2
Cosec θ 2 √2 2/√3 1

Substitute the of tan 45° in the given equation

1-tan245°/1+tan245°

tan 45° = 1

1-tan245°/1+tan245°

= (1-12)/(1+12)

= 0/2

= 0

The solution of the above equation is 0.

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