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

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

Sum

From the figure, we have

sin60° = `"BC"/"AC"`

⇒ `sqrt(3)/(2) = (12)/x`

⇒ x

= `(2 xx 12)/sqrt(3)`

= `24/sqrt(3)`

= `(8 xx 3)/sqrt(3)`
= `8sqrt(3)`.

shaalaa.com

Trigonometric Equation Problem and Solution

Is there an error in this question or solution?

Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 1.1

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

In ΔABC, ∠B = 90° , AB = y units, BC = `(sqrt3)` units, AC = 2 units and angle A = x°, find:

Calculate the value of A, if cos 3A. (2 sin 2A - 1) = 0

If sin 3A = 1 and 0 < A < 90^°, find `tan^2A - (1)/(cos^2 "A")`

Solve for x : cos `(x)/(3) –1` = 0

Find the value of 'A', if 2cos 3A = 1

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

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

Find the value 'x', if:

Evaluate the following: `(sec34°)/("cosec"56°)`