**Trigonometry Problems Worksheet :**

Here we are going to see some practice questions in trigonometry. For each problem you can find step by step solution.

(1) Find the value of cos 2A, A lies in the first quadrant, when

(i) cos A = 15/17

(ii) sin A = 4/5

(iii) tan A = 16/63 Solution

(2) f θ is an acute angle, then find

(i) sin (π/4 - θ/2), when sin θ = 1/25 Solution

(ii) cos (π/4 + θ/2), when sin θ = 8/9 Solution

(3) If cos θ = (1/2) (a + 1/a), show that cos 3θ = (1/2) (a^{3} + 1/a^{3}) Solution

(4) Prove that cos 5θ = 16cos^{5} θ − 20 cos^{3} θ + 5cos θ

(5) Prove that sin 4α = 4 tan α [(1 − tan^{2}α)/(1 + tan^{2}α)^{2}]

(6) If A + B = 45^{◦}, show that (1 + tan A) (1 + tan B) = 2.

(7) Prove that (1 + tan 1^{◦})(1 + tan 2^{◦})(1 + tan 3^{◦}) ................(1 + tan 44^{◦}) is a multiple of 4. Solution

(8) Prove that tan (π/4 + θ) - tan (π/4 − θ) = 2 tan 2θ.

(9) Show that cot (7 ½^{◦}) = √2 + √3 + √4 + √6

(10) Prove that (1 + sec 2θ)(1 + sec 4θ).............(1 + sec 2^{n}θ) = tan 2^{n }θ cot θ

After having gone through the stuff given above, we hope that the students would have understood, "Trigonometry Worksheets 11th Grade"

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