( A + A - 1)( A - A + 1) - 2 A = - Vidyadip

MCQ

$(\sec A + \tan A - 1)(\sec A - \tan A + 1) - 2\tan A = $

A
$\sec A$
B
$2\sec A$
✓
$0$
D
$1$

✓

Answer

Correct option: C.

$0$

c
(c) $(\sec A + \tan A - 1)(\sec A - \tan A + 1) - 2\tan A$

$ = ({\sec ^2}A - {\tan ^2}A) + \sec A + \tan A - \sec A$$ + \tan A - 1 - 2\tan A = 0$

$( \because {\sec ^2}A - {\tan ^2}A = 1)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 3. trignometrical ratios,functions and identities→STD 11 - 3. trignometrical ratios,functions and identities — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\left| {\begin{array}{*{20}{c}}{{x_1}}&{{y_1}}&1\\{{x_2}}&{{y_2}}&1\\{{x_3}}&{{y_3}}&1\end{array}} \right| = \left| {\begin{array}{*{20}{c}}{{a_1}}&{{b_1}}&1\\{{a_2}}&{{b_2}}&1\\{{a_3}}&{{b_3}}&1\end{array}} \right|$, then the two triangle with vertices $({x_1},{y_1}),\,({x_2},{y_2}),\,$ $({x_3},{y_3})$ and $({a_1},{b_1}),\,$ $\,({a_2},{b_2}),$ $({a_3},{b_3})$ must be

If $a, b$ and $c$ are in $AP$ and $p, p¢$ are the $AM$ and $GM$ respectively between $a$ and $b$, while $q, q¢$ are the $AM$ and $GM$ respectively between $b$ and $c,$ then:

If the equation ${x^2} + {y^2} + 2gx + 2fy + c = 0$ represents a circle with $x$ - axis as a diameter and radius $a$, then

If $A.M$ and $G.M$ of $x$ and $y$ are in the ratio $p : q$, then $x : y$ is

$\mathop {\lim }\limits_{h \to 0} \frac{{\sqrt {x + h} - \sqrt x }}{h} = $

The digit in unit place in the number $843^{843} + 492^{295}$ is

If $\alpha ,\beta $ be the roots of the equation $2{x^2} - 35x + 2 = 0$ then the value of ${(2\alpha - 35)^3}.{(2\beta - 35)^3}$ is equal to

The complex numbers $\sin x + i\cos 2x$ and $\cos x - i\sin 2x$ are conjugate to each other for

Which of the following is a finite set :

The complete set of values of $k,$ for which the quadratic equation $x^2− kx + k + 2 = 0$ has equal roots, consists of: