Tiêu đề TRIGONOMETRIC FUNCTIONS Q-1.pdf ✅

Class : XIth Subject : MATHS Date : DPP No. : 1 1. The most general value of θ which satisfies both the equations tan θ = ―1 and cos θ = 1/ 2 will be a) n π + 7 π 4 b)n π + ( ―1) n 7 π 4 c) 2 n π + 7 π 4 d)None of these 2. If sin x + sin2 x = 1, then the value of cos12 x +3cos10 x +3cos8 x + cos6 x ―1 is equal to a) 2 b)1 c) 0 d) ―1 3. The side of a triangle are 3 x + 4 y,4 x + 3 y and 5 x + 5 y units, where x,y > 0. The triangle is a) Right angled b)Equilateral c) Obtuse angled d)None of these 4. If the sides of a triangle are x 2 +x + 1,x 2 ―1,2x + 1, where x > 1, then the largest angle is a) 120° b)60° c) 40° d)30° 5. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C and ∆, the area of the triangle, then p ―1 1 + p ―1 2 ― p ―1 3 is equal to a) s ― a ∆ b) s ― b ∆ c) s ― c ∆ d) s ∆ 6. In a ∆ABC if a = 26,b = 30 and cos C = 63 65 , then r2 = a) 84 b)45 c) 48 d)24 7. The value of cos 1°cos 2°cos 3°...cos 100° is equal to a) 1 b) ―1 c) 0 d)None of these 8. The value of sin π 2 + sin 2π 7 + sin 3π 7 is a) cot π 14 b) 1 2 cot π 14 c) tan π 14 d)1 2 tan π 14 9. The value of x for the maximum value of 3cos x + sin x, is a) 30° b)45° c) 60° d)90° 10. sin2 17.5° + sin2 72.5° is equal to a) cos2 90° b)tan2 45° c) cos2 30° d)sin2 45° 11. If in ∆ ABC, asinA = b sinB, then the triangle is a)Isosceles b)Right angled c) Equilateral d)None of these 12. sin2 θ = 4xy (x + y) 2 is true if and only if a) x + y ≠ 0 b)x = y, x ≠ 0, y ≠ 0 c) x = y d)x ≠ 0, y ≠ 0 13. If cos θ = 1 2 (x + 1 x ), then 1 2 (x 2 + 1 x 2 ) is equal to a) sin 2θ b)cos 2θ c) tan 2θ d)None of these 14. sech―1 ( sin θ ) is equal to a)log tan θ 2 b)log sin θ 2 c) log cos θ 2 d)log cot θ 2 15. The number of solutions of the equation 2 cos x = |sin x| in [ ―2 π,2 π], is Topic :- TRIGONOMETRIC FUNCTIONS