Tiêu đề TRIGANOMETRIC RATIOS, FUNCTIONS AND INDETITIES_DPP_questions_2025-06-04.pdf ✅

DPP for FUNDAMENTAL TRIGONOMETRICAL RATIOS AND FUNCTIONS, TRIGONOMETRICAL RATIO OF ALLIED ANGLES MATH Chapter: TRIGANOMETRIC RATIOS, FUNCTIONS AND INDETITIES Topic: FUNDAMENTAL TRIGONOMETRICAL RATIOS AND FUNCTIONS, TRIGONOMETRICAL RATIO OF ALLIED ANGLES Date: 04 Jun 2025 Type: DPP 1. If then (1) (2) (3) (4) 2. is equal to (1) (2) (3) (4) 3. The radius of the circle whose arc of length makes an angle of radian at the centre is ..... (1) (2) (3) (4) 4. If then (1) (2) (3) (4) None of these 5. (1) (2) (3) (4) 6. Let and are the angles of a plain triangle and . Then is equal to (1) (2) (3) (4) 7. Observe that, at any instant, the minute and hour hands of a clock make two angles between them whose sum is . At the difference between these two angles is (1) (2) (3) (4) 8. (1) (2) (3) (4) 9. If lies in the second quadrant, then the value of (1) (2) (3) (4) None of these x = sec θ + tan θ, x + 1 x = 1 2 sec θ 2 2 tan θ tan 20 o + tan 40 o + √3 tan 20 o tan 40 o √3 2 √3 4 √3 1 15 cm 3/4 cm 10 20 11 1 4 22 1 2 2y cos θ = x sin θand2x sec θ − y cosec θ = 3, x 2 + 4y 2 = 4 −4 ±4 cot x − tan x = cot 2x 2cot 2x 2 cot 2x cot 2 2x A, B C tan A 2 = 1 3 , tan B 2 = 2 3 tan C 2 7/9 2/9 1/3 2/3 360 ∘ 6 : 15 . . . . ∘ 165 170 175 180 sin ( π 10 ) sin ( 3π 10 ) = 1/2 −1/2 1/4 1 θ √( 1−sin θ 1+sin θ ) + √( 1+sin θ 1−sin θ ) 2 sec θ −2 sec θ 2cosec θ
10. If then (1) (2) (3) (4) DPP for TRIGONOMETRICAL RATIOS OF SUM AND DIFFERENCE OF TWO AND THREE ANGLES MATH Chapter: TRIGANOMETRIC RATIOS, FUNCTIONS AND INDETITIES Topic: TRIGONOMETRICAL RATIOS OF SUM AND DIFFERENCE OF TWO AND THREE ANGLES Date: 04 Jun 2025 Type: DPP 1. If and . Then will be (1) (2) (3) (4) 2. If , then is equal to (1) (2) (3) (4) 3. If and then (1) (2) (3) (4) None of these 4. If then (1) (2) (3) (4) 5. If and , then the value of is (1) (2) (3) (4) 6. (1) (2) (3) (4) None of these 7. The value of is zero, if (1) (2) (3) (4) 8. (1) (2) (3) (4) A + C = B, tan A tan B tan C = tan A tan B + tan C tan B − tan C − tan A tan A + tan C − tan B − (tan A tan B + tan C) sin θ = 12 13 ,(0 < θ < π 2 ) cos φ = − 3 5 , (π < φ < 3π 2 ) sin(θ + φ) −56 61 −56 65 1 65 −56 sin 2 (10 ∘ )sin (20 ∘ )sin (40 ∘ )sin (50 ∘ )sin (70 ∘ ) = α− 1 16 sin (10 ∘ ) 16 + α −1 60 70 80 90 tan A = − 1 2 tan B = − 1 3 , A + B = π 4 3π 4 5π 4 m tan(θ − 30 ∘ ) = n tan(θ + 120 ∘ ), m+n m−n = 2 cos 2θ cos 2θ 2 sin 2θ sin 2θ π 2 < α < π, π < β < 3π 2 ; sin α = 15 17 tan β = 12 5 sin(β − α) −171/221 −21/221 21/221 171/221 cos 9 ∘+sin 9 ∘ cos 9∘−sin 9∘ = tan 54 ∘ tan 36 ∘ tan 18 ∘ cos y cos ( π 2 − x) − cos ( π 2 − y) cos x + sin y cos ( π 2 − x) + cos x sin ( π 2 − y) x = 0 y = 0 x = y x = nπ − π 4 + y, (n ∈ I) cos 276 o + cos 216 o − cos 76 o cos 16 o = −1/4 1/2 0 3/4