Q1.
(a)
(b)
(c)
(d)
Solution: (b) .
[ We have , ]
Q2.
(a) tan90°
(b) 1
(c) sin45°
(d) 0
Solution: (d) 0 .
[ We have , ]
Q3. The value of cosec31° – sec59° is :
(a) 1 (b) – 1 (c) 0 (d) 2
Solution: (c) 0 .
[ We have , ]
Q4.
(a) – 77 (b) 1 (c) 77 (d) 0
Solution: (a) – 77
[ We have , ]
Q5. If , then the value of is :
(a) (b) (c) (d)
Solution: (a)
[ We have ,
and
]
Q6. If , then the value of is
(a) 45° (b) 30° (c) 60° (d) 90°
Solution: (d) 90° .
[ We have ,
]
Q7. If , then the value of is equal to :
(a) (b) (c) (d)
Solution: (c)
[ Given ,
]
Q8. If , then value of is equal to –
(a) 0 (b) (c) (d)
Solution: (a) 0 .
[ We have ,
]
Q9. The value of is :
(a) 1 (b) 0 (c) (d)
Solution: (b) 0
[ We have ,
]
Q10. Given that and , then the value of is :
(a) 1 (b) 2 (c) 3 (d)
Solution: (a) 1
[ We have ,
and
]
Q11. Which of the following statement is true ?
(a) for all values of .
(b) The value of increases as increase .
(c) The value of increases as increase .
(d) is not defined for .
Solution: (b) The value of increases as increase .
Q12. The value of is equal to :
(a) (b) (c) (d)
Solution: (c)
[ We have ,
]
Q13. If , where is an acute angle , then the measure of is :
(a) 35° (b) 37° (c) 39° (d) 21°
Solution: (c) 39°
[ We have ,
]
Q14. The value of is :
(a) 0 (b) 2 (c) – 2 (d) 1
Solution: (c) – 2
[ We have ,
]
Q15. If , then the value of is equal to –
(a) 3 (b) 5 (c) 6 (d) 8
Solution: (d) 8
[ We have ,
]
Q16. Which of the following statement is true ?
a) The value of is always less than 1.
(b) The value of is always greater than 1.
(c) for some angle .
(d) for some angle .
Solution: (d) for some angle .
Q1. If , then the value of is .
Solution: 0
[ We have ,
]
Q2. If , then the value of is equal to .
Solution: .
[ We have ,
and
]
Q3. If , then the value of the expression is .
Solution: 1
[ We have ,
]
Q4. If and , then the value of is .
Solution: 30°
[ We have ,
]
Q5. If , then the value of is .
Solution: .
[ We have ,
]
Q6. is equal to .
Solution: – 1
[ We have , ]
Q7. If , then the value of is equal to .
Solution: 1
[ We have ,
]
Q8. If , then the value of is equal to .
Solution: .
[ Given ,
]
Q9. If and , then the value of is .
Solution: 0
[ We have ,
]
Q10. If , then equals
Solution: .
[ Given ,
and ]
Q11. The value of is .
Solution:
[ We have ,
]
Q12. The value of is .
Solution: 1
[ We have ,
]
Q12. If A and 3A – 30° are acute angles such that , then the value of is equal to .
Solution: .
[ We have ,
]