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

Sum

From the figure, we have

cos x = `"AB"/"AC"`

⇒ cos x = `(12)/(24)`

⇒ cos x = `(1)/(2)`
⇒ cos x = cos60°
⇒ x = 60°.

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Trigonometric Equation Problem and Solution

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Chapter 22: Trigonometrical Ratios of Standard Angles - Exercise 27.2

Chapter 22 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 1.3

State for any acute angle θ whether sin θ increases or decreases as θ increases

If 4 cos² x° - 1 = 0 and 0 ∠ x° ∠ 90°,
find:(i) x°
(ii) sin² x° + cos² x°
(iii) `(1)/(cos^2xx°) – (tan^2 xx°)`

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.

Calculate the value of A, if (cosec 2A - 2) (cot 3A - 1) = 0

If θ = 30°, verify that: tan2θ = `(2tanθ)/(1 - tan^2θ)`

Find the value of: `sqrt((1 - sin^2 60°)/(1 + sin^2 60°)` If 3 tan²θ - 1 = 0, find the value
a. cosθ
b. sinθ

In a rectangle ABCD, AB = 20cm, ∠BAC = 60°, calculate side BC and diagonals AC and BD.

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

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

Evaluate the following: sin31° - cos59°