*If tan(p+q) tan(p-q) = 1, then the value of tan p is :*

(1) |
(2) 1 |
(3) |
(4) |

*Ans: (2) tan(p+q) tan(p-q) = 1*

*tan (p+q) = cot (p+q) = tan (90*^{0 }– (p-q))*p+q = 90*^{0 }- (p-q)*2p = 90*^{0 }*p = 45*^{0 }= 1

*The maximum value of 24 sin + 7 cos is*

(1) 7 |
(2) 17 |
(3) 24 |
(4) 25 |

*Ans: (4) Maximum value of a sin + b cos is**Required maximum value is = 25 = = 25**If a, b are positive acute angles, a+b 90*^{0 }and sin (2a - 20^{0}), then the value of sec (a+b) is

(1) |
(2) |
(3) 1 |
(4) 0 |

*Ans: (1) sin (2a - 20 ^{0}) = cos (2a - 20^{0})*

*sin (2a - 20*^{0}) = sin (90^{0}-(2b - 20^{0})) = sin (70^{0}- 2b)*2a-20*^{0}= 70^{0}-2b*2(a+b) = 90*^{0}*a+b = 45*^{0}

* sec (a+b) = sec 45 ^{0} = *

*If 5 tan = 4, then the value of () is*

(1) |
(2) |
(3) |
(4) |

*Ans: (1) 5 tan = 4*

*tan =*

*By Dividing N ^{r } & D^{r} by,*

* = = = = = *

11:32 PM, 03-Mar-2021