IIT-JEE 1998 | Trigonometric Functions & Equations Question 46 | Mathematics

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

The number of values of $$x\,\,$$ in the interval $$\left[ {0,\,5\pi } \right]$$ satisfying the equation $$3\,{\sin ^2}x - 7\,\sin \,x + 2 = 0$$ is

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

Which of the following number(s) is /are rational?

$$\sin {\mkern 1mu} {15^ \circ }$$

$$\cos {\mkern 1mu} {15^ \circ }$$

$$\sin {\mkern 1mu} {15^ \circ }{\mkern 1mu} \cos {\mkern 1mu} {15^ \circ }$$

$$\sin {\mkern 1mu} {15^ \circ }{\mkern 1mu} \cos {\mkern 1mu} {75^ \circ }$$

IIT-JEE 1996

MCQ (Single Correct Answer)

-0.25

$${\sec ^2}\theta = {{4xy} \over {{{\left( {x + y} \right)}^2}}}\,$$ is true if and only if

$$x + y \ne 0\,$$

$$x = y,\,x \ne 0$$

$$x = y\,$$

$$x \ne 0,\,y \ne 0$$

IIT-JEE 1995 Screening

MCQ (Single Correct Answer)

-0.5

The general values of $$\theta $$ satisfying the equation $$2{\sin ^2}\theta - 3\sin \theta - 2 = 0$$ is

$$n\pi + {\left( { - 1} \right)^n}\pi /6$$

$$n\pi + {\left( { - 1} \right)^n}\pi /2 $$

$$n\pi + {\left( { - 1} \right)^n}5\pi /6$$

$$n\pi + {\left( { - 1} \right)^n}7\pi /6$$

JEE Advanced Subjects