MCQ Bank
The sum formula for cos (A + B) is _____.
- A) \cos A\,\cos B - \sin A\,\sin B
- B) \sin A\,\cos B + \cos A\,\sin B
- C) \sin A\,\cos B - \cos A\,\sin B
- D) \cos A\,\cos B + \sin A\,\sin B
Two functions f and g are said to be identically equal if ______ for every value of x for which both functions are defined.
- A) g(x)=y
- B) f(x)=g(x)
- C) f(x)=y
- D) f(x)+g(x)
\cos ( - \theta ) = ......
- A) - \cos ( - \theta )
- B) sec(\theta )
- C) \cos \theta
- D) - \cos \theta
\tan \theta =
- A) \frac{{\cot \theta }}{{\cos \theta }}
- B) \frac{{\sin \theta }}{{\cos \theta }}
- C) \frac{{\cos \theta }}{{\sin \theta }}
- D) \frac{{\cot \theta }}{{\sin \theta }}
\cot \theta =
- A) \frac{{\cos \theta }}{{\sin \theta }}
- B) \frac{{\cos ec\theta }}{{\cos \theta }}
- C) \frac{{\sin \theta }}{{\cot \theta }}
- D) \frac{{sin\theta }}{{\cos \theta }}
\[\sin ( - \theta ) = \_\_\_\_\_.\]
- A) \[\sin \theta \]
- B) \[\cos ( - \theta )\]
- C) \[ - \sin \theta \]
- D) \[\cos \theta \]
The range of y = \arccos x is........
- A) [0,\pi ]
- B) [ - 2\pi ,2\pi ]
- C) [ - 1,1]
- D) [ - \pi ,\pi ]
\[\sin 2A = \_\_\_\_\_\,.\]
- A) \[{\cos ^2}A - {\sin ^2}A\]
- B) \[2\sin A\,\,\cos A\]
- C) \[{\cos ^2}A + {\sin ^2}A\]
- D) \[1 - 2{\sin ^2}A\]
tan \theta is positive in the _____ and the third quadrant.
- A) second
- B) first
- C) third
- D) fourth
The\,\,function\,\,y = \sin 3x\,\,has\,period...
- A) 2\pi
- B) \frac{\pi }{2}
- C) \pi
- D) \frac{{2\pi }}{3}
\tan \theta is negative in the _________ quadrant
- A) none
- B) 1st
- C) 2nd
- D) 3rd
The difference formula for sin (A - B) is _____.
- A) \sin A\,\cos B + \cos A\,\sin B
- B) \sin A\,\cos B - \cos A\,\sin B
- C) \cos A\,\cos B + \sin A\,\sin B
- D) \cos A\,\cos B - \sin A\,\sin B
The domain of y = \arcsin x is ............
- A) [ - \frac{\pi }{2},\frac{\pi }{2}]
- B) [ - \pi ,\pi ]
- C) [ - \infty ,\infty ]
- D) [-1,1]
sin( - \frac{\pi }{4}) = .....
- A) - \sin (\frac{\pi }{4})
- B) cosec(\frac{\pi }{4})
- C) - sec(\frac{\pi }{4})
- D) \sin (\frac{\pi }{4})
\[1 + {\cot ^2}\theta = \]
- A) \[{\sec ^2}\theta \]
- B) \[{\csc ^2}\theta \]
- C) \[{\tan ^2}\theta \]
- D) \[{\sec ^2}\theta \]
The value of \cos ({120^ \circ }) is same as the value of ......
- A) - \cos {120^ \circ }
- B) \cos {180^ \circ }
- C) \cos {60^ \circ }
- D) - \cos {60^ \circ }
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- B) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAbCAYAAAB4Kn/lAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACSSURBVEhL7dXRCYAgEAbgqw3cxR3EGdzAEXQCt3MCJ3AH6+QyCAsLe7sPJDjjPx88XMoOfrDSdzoObji4eQxOKYG1Frz3VHkBB+Qq51ycczg4dYUQaGdc98TGGNBaw96AKh9Qg1v4y7QTz8DBDQef6Np1xRjrPZZSUmVcNxjHGcMw9FhCiKKUqs1G8GPacDAB2ADf7Ur5VRTQ7QAAAABJRU5ErkJggg==
- C) data:image/png;base64,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
- D) data:image/png;base64,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- A) data:image/png;base64,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
- B) data:image/png;base64,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
- C) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAAaCAYAAACpSkzOAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACeSURBVEhL7ZXBCQQhDEUz24HYikfvYg12YAlagR1ZhhVYgT04o2Su65plZGF9EIQv+BBiPOoFLOCF6+NsEZnfE+WcwVoL3ntMJmnt/Y5SSnXOtSfQK4SAO3MMb2SMAa01XEJMaAxFMUaQUgLnHBMaf9x137JFZJaJhpPhJqXUJ4MQApM5hqI2ftrhTXIXY6wqpbr8U/ZXTmaLyCwSAZwIMCqVYBv/4AAAAABJRU5ErkJggg==
- D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAaCAYAAAAaAmTUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJWSURBVFhH7ZhBzmkxFMfr7YAlsAUzJgywA1YgYcxEbABz7ICBxEhIDAxMJCY2wApYw333V+3LzU3bW56X70beL2nu197e9vzPOT39IhOEiC/hl3p+Bf/FpJVUicnlciKTyYjxeKxGXoQCkAYul0tQr9cpRl7NRGoiczqdRLVaxUqvZiI1YtbrtQgjo3pvEqr8JxQKhWA0Gqmem/v9HmSzWdV7H6eY6/UadDqdYDAYqBE/NpuNzGuM9IH5zWZT9Z4sFgs5hkjW8nGOUQxGIIBFaL4e1nCQcYIv7IXxGvZjX8axhYawJFuMYjDmeDzKRV4VQ1XiG6LqC16Pzme/YrGoek94z7rYZiPxzLwqhoi4NoyDkXHDbSSJ+Wg1u91uYjabieFwqEaeMN7tdmWLs9/vRa1WUz07rAH5fF4+TXxUzGq1EmHKiHK5rEaEWC6XUsT5fJZCH4+HevPkcDiIUqmkenZYG3q9nnwaURGywhSfNON8UXmiBzkK46a1PEz4cw5ta2s+JmY+n8uD7IL30TkUmXhJjqOd5FMdP5Zmk8lEtNtt1TPT7/dFeOBl6sF2uxWVSkX+bYKUbDQaotVqiel0qkYdKFFWmJIUGcKP9/CiC+1lXZGoYqSQDaLBnKR1NR8Rg3G+l6S+jHGAKy1JW4TH7yvXN04x+uC57gHynjnxTW3oyw+jbA6wFRP9b5IN4xu8hwA+1E2nRzwtMMg3KhrmsybGmSATontHG3bYSEwzF9rLROcVdMR9z4Ivf/VTE5chN/Nut1MjP4yU9Aa2vP5JvuhHQCF+A4VYWwWttteCAAAAAElFTkSuQmCC
\sin (\theta + 2\pi ) =
- A) \cos \theta
- B) - \cos \theta
- C) \sin \theta
- D) - \sin \theta
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- A) data:image/png;base64,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
- B) data:image/png;base64,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
- C) data:image/png;base64,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
- D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAZCAYAAADaILXQAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACRSURBVEhL7ZXBDcAgCABpN3AXdzDO4AaOoBO4nRM4gTvYYugPW9vUH5cQEzQHD4hbO4FF7HQuQeQsImd5lJdSwHsPMUbKvACXiKPW2kIIuGA9Ukp0M8+wc+ccWGvhLEKZD1CRW/DZr53/gchZRM5DIzkk59znXGtNmXmGclx9FKL4CqVUM8b0gjPIB82yUA5wACvfWuXbvwphAAAAAElFTkSuQmCC