Choose the correct option. Justify your choice.(i) 9sec2A−9tan2A=(A)

1.	Choose the correct option. Justify your choice.(i) 9sec2A−9tan2A=(A) 1(B) 9(C) 8(D) 0(ii) (1+tanθ+secθ)(1+cotθ−cosecθ)(A) 0(B) 1(C) 2(D) −1(iii) (secA+tanA)(1−sinA)=(A) secA(B) sinA(C) cosecA(D) cosA (iv) 1+tan2A1+cot2A=(A) sec2A(B) −1 (C) cot2A(D) tan2A
Answer» Choose the correct option. Justify your choice. (i) $9 {sec}^{2} A - 9 {tan}^{2} A =$ (A) $1$ (B) $9$ (C) $8$ (D) $0$ (ii) $(1 + tan θ + sec θ) (1 + cot θ - cosec θ)$ (A) $0$ (B) $1$ (C) $2$ (D) $- 1$ (iii) $(sec A + tan A) (1 - sin A) =$ (A) $sec A$ (B) $sin A$ (C) $cosec A$ (D) $cos A$ (iv) $\frac{1 + {tan}^{2} A}{1 + {cot}^{2} A} =$ (A) ${sec}^{2} A$ (B) $- 1$ (C) ${cot}^{2} A$ (D) ${tan}^{2} A$

Choose the correct option. Justify your choice.(i) 9sec2A−9tan2A=(A) 1(B) 9(C) 8(D) 0(ii) (1+tanθ+secθ)(1+cotθ−cosecθ)(A) 0(B) 1(C) 2(D) −1(iii) (secA+tanA)(1−sinA)=(A) secA(B) sinA(C) cosecA(D) cosA (iv) 1+tan2A1+cot2A=(A) sec2A(B) −1 (C) cot2A(D) tan2A

Answer»

Choose the correct option. Justify your choice.

(i) $9 {sec}^{2} A - 9 {tan}^{2} A =$

(A) $1$

(B) $9$

(D) $0$

(ii) $(1 + tan θ + sec θ) (1 + cot θ - cosec θ)$

(A) $0$

(B) $1$

(D) $- 1$

(iii) $(sec A + tan A) (1 - sin A) =$

(A) $sec A$

(B) $sin A$

(D) $cos A$

(iv) $\frac{1 + {tan}^{2} A}{1 + {cot}^{2} A} =$

(A) ${sec}^{2} A$

(B) $- 1$

(D) ${tan}^{2} A$