Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

In ΔABC with AB = 5 cm, BC = 12 cm, AC = 13 cm and ∠B = 90°, which of the following is/are not correct?

(A) $\tan C=\frac{12}{13}$
(B) $cosec\, A=\frac{13}{12}$
(C) $\sin B=\frac{5}{13}$
(D) $\tan A=\frac{12}{15}$
(E) $\cos C=\frac{12}{13}$

Choose the correct answer from the options given below:

Options:

(A), (B) and (C) only

(A) and (B) only

(A), (C) and (D) only

(B), (C) and (D) only

Correct Answer:

(A), (C) and (D) only

Explanation:

In ΔABC with AB = 5 cm, BC = 12 cm, AC = 13 cm and ∠B = 90°

In ΔABC with AB = 5 cm, BC = 12 cm, AC = 13 cm and ∠B = 90°, which of the following is/are not correct?

(A) $\tan C=\frac{12}{13}$ Tan C = 5/12
(B) $cosec\, A=\frac{13}{12}$ Cosec A = 13/12
(C) $\sin B=\frac{5}{13}$ Sin B = Sin90 = 1
(D) $\tan A=\frac{12}{15}$ Tan A = 12/5
(E) $\cos C=\frac{12}{13}$ Cos C = 12/13

The correct answer is → 

(A) Tan C = 5/12
(B) Cosec A = 13/12
(C) Sin B = Sin90 = 1
(D) Tan A = 12/5
(E) Cos C = 12/13