If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle.

योग

tan4θ = cot(θ + 20°)
⇒ cot(90° - 4θ) = cot(θ + 20°)
⇒ 90° - 4θ= θ+ 20°
⇒ 5θ = 70°
⇒ θ = 14°.

shaalaa.com

Trigonometric Equation Problem and Solution

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

अध्याय 27: Trigonometrical Ratios of Standard Angles - Exercise 27.3

अध्याय 27 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 7

Use the given figure to find:
(i) tanθ°
(ii) θ°
(iii) sin²θ° - cos²θ°(iv) Use sin θ° to find the value of x.

Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0

Solve for 'θ': `sec(θ/2 + 10°) = (2)/sqrt(3)`

Evaluate the following: `((1 - cosθ)(1 + cosθ))/((1 - sinθ)(1 + sinθ)` if θ = 30°

Find lengths of diagonals AC and BD. Given AB = 24 cm and ∠BAD = 60°.

In a trapezium ABCD, as shown, AB ‖ DC, AD = DC = BC = 24 cm and ∠A = 30°. Find: length of AB

Find the value 'x', if:

Evaluate the following: `(tan12°)/(cot78°)`

Evaluate the following: `(cos34° cos35°)/(sin57° sin56°)`

Evaluate the following: cot20° cot40° cot45° cot50° cot70°