Trigonometry Test Class 10 (MCQ)

If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ =

If sec A + tan A = x, then sec A =

If  x = a cosθ and y = b sinθ , then b²x² + a²y² =

What is the minimum value of sin A, 0 ≤ A ≤ 90°

If in ΔABC, ∠C = 90°, then sin (A + B) =

If sin A – cos A = 0, then the value of sin⁴ A + cos⁴ A is

sec²θ – 1 = ?

sin 2B = 2 sinB is true when B is equal to

If cos 9A = sin A and 9A < 90°, then the value of tan 5A is

The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

The value of (tan1° tan2° tan3° … tan89°) is

If sin A =   and cos B =  , then A + B = ?

The Value of is : 

If cos (A + B) = 0, then sin (A – B) is reduced to:

If cos X =  then tan X is equal to:

The value of the expression [sin²(22∘)+sin(68∘)cos(22∘)+sin²(63∘)+cos 63∘ sin 27∘] is

The value of the expression sin⁶θ + cos⁶θ + 3 sin²θ cos²θ is

In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?

If tanθ= (x sinϕ) / (1−xcosϕ) and, tan ϕ = (y sin θ)/ (1−y cos θ) then x/y =

cos 1° × cos 2° × cos 3° ×……..× cos 180° is equal to:

If x = a sin θ and y = a cos θ then the value of x² + y² is _______

The value of (1 + cos θ) (1 – cos θ) cosec² θ = _____

sin θ/√1-sin² θ

If θ = 45° then sec θ cot θ – cosec θ tan θ is

• Two aeroplanes leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/hr and 500 km/hr respectively. Considering PQ as runway and A and B are any two points in the path followed by two planes, then answer the following questions.
  
  (i) Find tanθ; if ∠APQ=θ tan⁡θ; if ∠APQ=θ

• Two aeroplanes leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/hr and 500 km/hr respectively. Considering PQ as runway and A and B are any two points in the path followed by two planes, then answer the following questions.
  
  (ii) Find cot B

• Two aeroplanes leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/hr and 500 km/hr respectively. Considering PQ as runway and A and B are any two points in the path followed by two planes, then answer the following questions.
  

(iii) Find tanA.

• Two aeroplanes leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/hr and 500 km/hr respectively. Considering PQ as runway and A and B are any two points in the path followed by two planes, then answer the following questions.
  

(iv) Find secA.

• Two aeroplanes leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/hr and 500 km/hr respectively. Considering PQ as runway and A and B are any two points in the path followed by two planes, then answer the following questions.
  

(v) Find cosecB.