tod


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Q1.The value of is: cos² 60°+4 sec² 30°–tan²⁡ 45°/sin² 30°+cos² 30° is 
cos² 60°+4 sec² 30°–tan²⁡ 45°/sin² 30°+cos² 30°  का मान कितना है?

64/√3
55/12
67/12
67/10
Solution:

Q2. The value of sin² 30° cos² 45° + 5tan² 30° +3/2 sin² 90° – 3cos² 90° is: 
sin² 30° cos² 45° + 5tan² 30° +3/2 sin² 90° – 3cos² 90°  का मान कितना है:

3(7/24)
3(3/24)
3(1/23)
3(5/24)
Solution:

Q3. If cos² θ – sin² θ = 1/3 , where 0 ≤ θ ≤ (π )/2, then the value of cos⁴ θ – sin θ is:
यदि 
cos² θ – sin² θ = 1/3 है,जहाँ 0 ≤ θ ≤ (π )/2 है,तो cos⁴ θ – sin θ का मान कितना है:

1/3
2/3
1/9
2/9
Solution:

Q4. If tan θ = 1/√11 and 0 < θ < π/2 , then the value of (cosec² θ–sec²⁡ θ)/(cosec² θ +sec² θ ) is: यदि tan θ = 1/√11 और 0 < θ < π/2 है,तो (cosec² θ–sec²⁡ θ)/(cosec² θ +sec² θ ) का मान कितना है:

3/4
4/5
5/6
6/7
Solution:

Q5. The value of 1/√2 sin π/6 cos π/4 – cot⁡π/3 sec⁡ π/6 + (5tan π/4 )/(12 sin⁡ π/2 ) is equal to: 
1/√2 sin π/6 cos π/4 – cot⁡π/3 sec⁡ π/6 + (5tan π/4 )/(12 sin⁡ π/2 )का मान किसके बराबर है:

0
1
2
3/2
Solution:

Q6. If sin θ = (3 )/5, then the value of (tanθ+cosθ)/(cotθ+cosecθ) is equal to: 
यदि sin θ = (3 )/5 है,तो (tanθ+cosθ)/(cotθ+cosecθ) का मान किसके बराबर है:

29/60
31/60
34/60
37/60
Solution:

Q7. If a cos θ + b sin θ = p and a sin θ – b cos θ = q, then the relation between a, b, p and q is:
 यदि a cos θ + b sin θ = p और a sin θ – b cos θ = q है,तो a, b, p और q के बीच संबध

a2 – b2 = p2 – q2
a2 + b2 = p2 + q2
a + b = p + q
a – b = p – q
Solution:

Q8. If sin θ + cos θ =7/5, then the value of sin θ. cos θ is – 
यदि sin θ + cos θ =7/5 है,तो sin θ. cos θ का मान कितना है-

4/5
7/8
13/12
12/25
Solution:

Q9. If sin 21° = x/y then sec 21° – sin 69° is equal to: 
यदि sin 21° = x/y है तो sec 21° – sin 69° किसके बराबर है:

x²/(y√(y²-x² ))
y²/(x√(y²-x²))
x²/(y√(x²-y²))
y²/(x√(x²-y²))
Solution:

Q10. If sec θ + tan θ = 2, then the value of sin θ is (assume that 0 < θ < 90°) 
यदि sec θ + tan θ = 2 है,तो sin θ का मान कितना है (यह मानते हुए की 0 < θ < 90°)

0.4
0.5
0.6
0.8
Solution:

Q11. If 3 sin θ + 5 cos θ = 5, then the value of 5sin θ – 3cos θ will be: 
यदि 3 sin θ + 5 cos θ = 5 है,तो 5sin θ – 3cos θ का मान कितना होगा:

± 3
± 5
± 2
± 1
Solution:

Q12. If θ is an acute angle and tan θ + cot θ = 2, then the value of tan⁵ θ + cot⁵ θ is: 
यदि θ एक न्यून कोण है और tan θ + cot θ = 2 है,तो tan θ + cot θ का मान कितना है:

1
2
3
4
Solution:

Q13. The simple value of tan 1°. tan3°…….tan 89° is: 
tan 1°. tan3°…….tan 89° का साधारण मान कितना है:

1/2
0
1
2/3
Solution:

Q14. If x sin² 60° – 3/2 sec 60° tan² 30° + 4/5 sin² 45° tan² 60° = 0 then x is: 
यदि x sin² 60° – 3/2 sec 60° tan² 30° + 4/5 sin² 45° tan² 60° = 0 है तो x कितना है:

-1/15
– 4
-4/15
– 2
Solution:

Q15. If 7 sin α = 24 cos α; 0 < α < π/2, then the value of 14 tan α – 75 cos α – 7 sec α is equal to: यदि 7 sin α = 24 cos α; 0 < α < π/2 है,तो 14 tan α – 75 cos α – 7 sec α का मान किसके बराबर है:

3
4
1
2
Solution:

               

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