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1.

If `0 ltA lt(pi//2)and0 ltB lt(pi//2),` then angle `(A-B)` lies in…….. Quadrant.A. FirstB. SecondC. ThirdD. Fourth

Answer» Correct Answer - D
Discussion
2.

`tan20^@+tan25^@+tan20^@.tan25^@=....`A. `-sqrt2`B. 1C. `1//sqrt2`D. -1

Answer» Correct Answer - B
Discussion
3.

If `sectheta=-13//5,` where `90^(@) lt theta lt 180^(@),`, then : `sintheta=…….`A. `109//191`B. `120//199`C. `-120//169`D. `-119//169`

Answer» Correct Answer - C
Discussion
4.

The value of `(cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@))` isA. 1B. 2C. 0D. 3

Answer» Correct Answer - B
Discussion
5.

Statement I : `sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2` Statement II `cos^2pi/8+cos^2(3pi)/8+cos^2(5pi)/8+cos^2(7pi/8)=2` Statement III: `sin^2pi/8+sin^(3pi)/8+sin^2(5pi)/8sin^2(7pi)/8=3/2`A. 1B. 2C. -1D. 0

Answer» Correct Answer - B
Discussion
6.

Find the value of `sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+.............+sin^(2)90^(@)`.A. `6(1)/(2)`B. `7(1)/(2)`C. `8(1)/(2)`D. `9(1)/(2)`

Answer» Correct Answer - D
Discussion
7.

If `sinA+sinB+sinC=(3sqrt3)/(2).` then: `DeltaABC` is (a) isosceles (b) right angled (c) equilateral (d) obtuse angledA. isoscelesB. right-angledC. equilateralD. obtuse-angled

Answer» Correct Answer - C
Discussion
8.

If `sin.alpha/2+cos.alpha/2=1.4,` then: `sinalpha=`A. `50/47`B. `47/50`C. `24/25`D. `25/24`

Answer» Correct Answer - C
Discussion
9.

If, in a `DeltaABC,tanA=1andtanB=2,` then: `tanC=` (a) 1 (b) 2 (c) 3 (d) 4A. 1B. 2C. 3D. 4

Answer» Correct Answer - C
Discussion
10.

If `cos(A-B)=3/5and tan A tanB=2,` thenA. `cosA.cosB=1/5`B. `cosA.cosB=-1/5`C. `sinA.sinB=-6/5`D. `sinA.sinB=-1/5`

Answer» Correct Answer - C
Discussion
11.

If `tanx=b//a,` then: `acos2x+bsin2x=`A. aB. `a-b`C. `a+b`D. b

Answer» Correct Answer - A
Discussion
12.

If `DeltaABC` is a right-angled at A, then: `cos^2B+cos^2C=` (a) -2 (b)=-1 (c) 1 (d) 0A. -2B. -1C. 1D. 0

Answer» Correct Answer - C
Discussion
13.

If `cos25^0+sin25^0=p ,`then `cos50^0`is`sqrt(2-p^2)`(b) `-sqrt(2-p^2)``psqrt(2-p^2)`(d) `-psqrt(2-p^2)`A. `sqrt(2-p^2)`B. `-psqrt(2-p^(2))`C. `psqrt(2-p^(2))`D. `-sqrt(2-p^(2))`

Answer» Correct Answer - C
Discussion
14.

If `t a ntheta_1t a ntheta_2=k ,`then `("cos"(theta_1-theta_2))/("cos"(theta_1+theta_2))=``(1+k)/(1-k)`b. `(1-k)/(1+k)`c. `(k+1)/(k-1)`d. `(k-1)/(k+1)`A. `(1+k)/(1-k)`B. `(1-k)/(1+k)`C. `(k+1)/(k-1)`D. `(k-1)/(k+1)`

Answer» Correct Answer - A
Discussion
15.

If `cos theta+cos phi=a` and `sin theta - sin phi=b`, then: `2cos(theta + phi)`=A. `a^2-b^2-2`B. `a^2-b^2+2`C. `a^2+b^2+2`D. `a^2+b^2-2`

Answer» Correct Answer - D
Discussion
16.

`sin^6A+cos^6A+3sin^2A.cos^2A=` (a) 0 (b)1 (c) 2 (d) 3

Answer» Correct Answer - B
Discussion
17.

`tan 5x.tan3x.tan2x=`A. `tan5x-tan3x-tan2x`B. `(sin5x-sin3x-sin2x)/(cos5x-cos3x-cos2x)`C. `tan5x+tan3x+tan2x`D. 0

Answer» Correct Answer - A
Discussion