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Practise these questions given here to get a deep knowledge of Trigonometry. Use the formulas and table given in this article wherever necessary.👇👇👇 Q.1: In △ABC, right-angled at B, AB=22 cm and BC=17 cm. Find: (a) sin A Cos B (b) tan A tan B Q.2: If 12cot θ= 15, then find sec θ. Q.3: In Δ PQR, right-angled at Q, PR + QR = 30 cm and PQ = 10 cm. Determine the values of sin P, cos P and tan P. Q.4: If sec 4θ = cosec (θ- 300), where 4θ is an acute angle, find the value of A.✅✅✅

Or👇👇😊 We can further resolve the above-resulted expression by putting the value of √3, which is equal to 1.732. ∴ Tan (15°) = (1.732 – 1)/(1.732 + 1) = 0.2679 Or tan (15°) ≈ 0.27 Tan 15° With Respect To sin and cos function Similarly, we can also find the value of tangent 15 degrees, by knowing the value of sin 15 and cos 15 degrees. Tan (15°) = sin 15/cos 15 Tan 15° = sin 15/cos 15 Sin 15° = sin (45 – 30)° and cos 15 = cos (45 – 30)° ∴ tan (15°) =  sin (45 – 30)° /cos (45 – 30)° From the trigonometry formulas, we know, sin(A – B) = sin A cos B – cos A sin B and cos (A – B) = cos A cos B + sin A sin B Therefore, tan (15°)= (sin 45° cos 30° – cos 45° sin 30°)/ (cos 45° cos 30° + sin 45° sin 30°) Putting the values of sin 30°, sin 45°, cos 30° and cos 45°, we get, tan 15° = [(1/√2).(√3/2) – (1/√2).(½)] / [(1/√2).(√3/2) + (1/√2).(½)] Solving the above equation we have, tan 15° = √3 – 1/ √3 + 1

From the above table, we have the values of tan, sin and cos ratios for 0°, 30°, 45°, 60° and 90°. Now, by using these values, we have to find the value of tan (15°). Let’s get started,👇👇👇 Tan 15° = Tan(45 – 30)° By the trigonometry formula, we know,✅👇👇 Tan (A – B) = (Tan A – Tan B) /(1 + Tan A Tan B) Therefore, we can write, tan(45 – 30)° = tan 45° – tan 30°/1+tan 45° tan 30° Now putting the values of tan 45° and tan 30° from the table we get;👇👇👇 tan(45 – 30)° = (1 – 1/√3)/ (1 + 1.1/√3) tan (15°) = √3 – 1/ √3 + 1 Hence, the value of tan (15°) is √3 – 1/√3 + 1.✅✅

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Example 2. find the value of tan 15⁰, with the help of trigonometry table.✅✅ Before we try to find the tan 15 degrees value, let’s have a look at trigonometry table for sin, cos and tan.👇👇👇

Ok two more👇👇

Solved Examples Example 1: Find the value of tan 45⁰ + 2 cos 60⁰ – sec 60⁰. Solution: From the trigonometry table, tan 45⁰ = 1, cos 60⁰ = ½ and sec 60⁰ = 2 Therefore, tan 45⁰ + 2 cos 60⁰ – sec 60⁰ = 1 + 2 × ½ – 2 = 1 + 1 – 2 = 0 SIR OYIBO(THEMAINMAN) ✍🏽✍🏽✍🏽

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