Practice Trigonometry Questions and Answers

• If  θ is a positive acute angle and cos² θ + cos⁴θ  = 1, then the value of tan²θ + tan⁴θ  is?
• What is the value of  1/(1+tan 2 θ ) + 1 / (1+cot 2 θ )  = ?...
• If  x - √(3y) =19 Then find the slope in angle?
• If Sin θ  + Cos θ  = √2 Cos(90 - θ ), then find the value of Cot θ ?...
• If SecA + TanA = 2√2 + 3, then find the value of Sin A + Cos A
• Find the Value of Sin⁶`Theta`  + Cos⁶`Theta`  + 3Sin² `theta` Cos²`Theta`
• Find the value of  `1/2`  cosec 10   -  `2/(cosec 70)`   ?
• If  P, Q, R, S are the vertex of a cyclic quadrilateral. Find the value of `1/sec p`  + `1/sec q`  + `1/sec r`  +`1/sec s` &n...
• If 30sin4theta; + 45 cos4theta; = 18 . Then find the value of 216 cosec6theta; + 64 sec6theta;. ...
• If 2x = cosec @ and 4/x = cot @ then the value of 2(x ² - 1/x ² ) is
• If sin θ = 3/5 and θ is an acute angle, then the value of cos θ is:
• tan 4˚ × tan 43˚ × tan 47˚ × tan 86˚ = ?
• tan 20˚ x tan 23˚ x tan 67˚ x tan 70˚ = ?
• cot 4˚ x cot 47˚ x cot 42.3˚ x cot 43˚ x cot 47.7˚ x cot 86˚= ?
• tan 1˚ × tan 2˚× …………………….tan 88˚ × tan 89˚ = ?
• cot 13˚    cot 14˚    …………………….cot 76˚    cot 77˚ = ? ...
• cot 17˚    cot 18˚    …………………….cot 72˚    cot 73˚ = ? ...
• (tan 5x - tan 3x - tan 2x) = ?
• If  tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is
• 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.