Find the value of 'x' in each of the following:

Sum

From the figure, we have

tan45° = `"BC"/"AB"`

⇒ 1 = `(24)/x`
⇒ x = 24.

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Trigonometric Equation Problem and Solution

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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.2

Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 1.2

Solve for x : sin (x + 10°) = `(1)/(2)`

Find the value of 'A', if 2 cos A = 1

Find the value of 'A', if (2 - cosec 2A) cos 3A = 0

If A = 30°, verify that cos2θ = `(1 - tan^2 θ)/(1 + tan^2 θ)` = cos⁴θ - sin⁴θ = 2cos²θ - 1 - 2sin²θ

If `sqrt(3)` sec 2θ = 2 and θ< 90°, find the value of

cos² (30° + θ) + sin² (45° - θ)

In a right triangle ABC, right angled at C, if ∠B = 60° and AB = 15units, find the remaining angles and sides.

In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
a. AB is `sqrt(3)` times of BC.
B. BC is `sqrt(3)` times of BC.

Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin65° + cot59°

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

Prove the following: sin²30° + cos²30° = `(1)/(2)sec60°`