Practice Trigonometry Questions and Answers

• If  tan 12θ x tan 6θ = 1 then the value of tan 9θ is
• If sin5A = cos(2A+20°), then what is the value of A? Given that 5A is an acute angle.
• If cot2A = tan(A+6˚ )  , find the value of A? Given that 2A and A+6˚  are acute angles.
• If cot8A = tan(A+8˚), find the value of A? Given that 8A and A+8 are acute angles.
• If cot5A = tan(3A-14˚), find the value of A? Given that 5A and 3A-14˚ are acute angles.
• If sin 23° = `12/13` , then tan 67° = ? ...
• sin2 7 ° + sin2 8 ° + sin2 9 ° + sin2 10 ° + ……… + sin2 83 ° = ? ...
• sin2 9 ° + sin2 10 ° + sin2 11 ° + sin2 12 ° + ……… + sin2 81 ° = ?...
• sin2 7˚ + sin2 9˚ + sin2 11˚ + sin2 12˚ + ……… + sin2 83˚ = ? ...
• sin2 17˚ + sin2 19˚ + sin2 21˚ + sin2 23˚ + ……… + sin2 77˚ = ?
• sin2 4˚ + sin2 6˚ + sin2 8˚ + sin2 10˚ + ……… + sin2 86˚ =?
• sin2 12˚ + sin2 14˚ + sin2 16˚ + sin2 18˚ + ……… + sin2 78˚ =?
• The maximum value of 45 sin θ + 28 cos θ is:
• The minimum value of 12 sin θ + 5 cosθ is
• The minimum value of 3 sin2 θ + 4 cos2 θ is ...
• The minimum value of 45 sin2 θ + 28 cos2 θ is
• The minimum value of 25 sin2 θ + 16 cos2 θ is
• Find the slope of the equation : 12x + 4y = 28.
• The minimum value of 9 cos2 θ + 36 sec2 θ is 
• If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.
• if x sin 45 ˚  = y cosec 30 ˚   then find the value of   ...
• if a sin 45 ˚  = b cosec 60 ˚   then find the value of  a⁴/b⁴    ...
• if 8 sin 2 x + 3 cos 2 x = 4  then find tan x
• if 7 sin 2 x + 2 cos 2 x = 4  then find tan x
• If sec x + tan x = 11 then find secx?
• If sin(x-y) = 1  and cos(x+y) = 1 /√2  then what is measure of angle x.
• If asinx +b cosx = c then find the value of acosx - bsinx =?
• sin10˚ x sin20˚ x sin40˚ =? 
• If sin A - cos A = 3/7, then find value of sinA + cos B,  where A is an acute angle.
• If sin α + cos β = 2 (0˚ ≤ β < α ≤ 90˚), then sin[(2α + β)/3] =?
• If cos4 B - sin4 B = , then the value of 2 cos2 B - 1 is ...
• If cos4 p - sin4 p = , then the value of 2 cos2 p - 1 is...
• The value of sec2 45˚ + 2 tan 135˚ is –
• cos (sec-1 x) is equal to –
•     
• If 1 + sin 2θ = p2 and sin3 θ + cos3 θ = q then Which of the following is true ?  1. q3 – 2p + 3q = 0 2. p3 – 3p + 2q = 0 3. q3 + 2p – 2q = 0 4. ...