Practice Trigonometry Questions and Answers

• A tree of height 'h' metres is broken by storm in such a way that its top touches the ground at a distance of 'x' metres from the root. Find the height at ...
• If A and B are complementary angles, then the value of- sin A cos B + cos A sin B – tan A tan B + sec 2 A – cot 2 B is– ...
• If tan A = 1 and tan B = √ 3, what is the value of cos A . cos B - sin A . sin B?
• If sec A + tan A = 3 then the value of cot A is:
• The angle of depression of vertex of a regular hexagon lying in a horizontal plane, form the top of a tower of height 135 m located at the centre of the re...
• The value of (3tan10°-tan³10°)/(1-3tan²10°) is equal to 
• If Sin 3A = Cos (A - 46°) where 3A is acute angle, then the Value of A is
• If tan θ = 8/3 , then the value of (3Sinθ+2 Cosθ )/(3 Sinθ-2Cosθ) is
• If tanθ = x then find the value of cos 2θ?
• If (sinθ+cosθ)/(sinθ-cosθ) = 2, then the value of sin4 θ is
• If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is
• If secθ + tanθ = 3+√10, then the value of sinθ+cosθ is
• The Value of (sin38˚)/(cos52˚)+  (cos12˚)/(sin78˚)- 4cos²60˚ is
• If x+  1/x = 2cosθ, then the value of x³+  1/x³ is
• (cos5°+sin5°)/(cos5°-sin5°) is equal to:
• If  7sin²θ + 3cos²θ = 4, then find the value of θ?
• In ∆ABC, AB = 5cm, BC = 6cm and AC = 10cm then find out the value of cos A?
• If (1+sinθ)/cosθ = x, then find the value of secθ? 1.        2. 3.         4. ...
• If SecA + TanA = 2√2 + 9, then find the value of Sin A + Cos A.
• The Value of (sin38˚)/(cos52˚) + (cos12˚)/(sin78˚) - 4cos²60˚ is
• 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