Find the value 'x', if:

Sum

In right ΔACB,

tan30° = `"BC"/"AC"`

⇒ `(1)/sqrt(3) = (10)/"AC"`
⇒ AC = `10sqrt(3)"cm"`
Now,
In right ΔACD,

sin x = `"AC"/"AD"`

⇒ sin x = `(10sqrt(3))/(20)`

⇒ sin x = `sqrt(3)/(2)`
⇒ sin x = sin60°
⇒ x = 60°.

shaalaa.com

Trigonometric Equation Problem and Solution

Is there an error in this question or solution?

Chapter 22: Trigonometrical Ratios of Standard Angles - Exercise 27.2

Chapter 22 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 9.4

From the given figure,
find:
(i) cos x°(ii) x°(iii) `(1)/(tan^2 xx°) – (1)/(sin^2xx°)`
(iv) Use tan x^o, to find the value of y.

Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0

Solve the following equation for A, if `sqrt3` cot 2 A = 1

Solve for x : tan² (x - 5°) = 3

Find the value of 'A', if cot 3A = 1

If θ = 30°, verify that: 1 - sin 2θ = (sinθ - cosθ)²

In the given figure, if tan θ = `(5)/(13), tan α = (3)/(5)` and RS = 12m, find the value of 'h'.

Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cosec64° + sec70°

Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°

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