Find the value 'x', if:

Sum

In right ΔABC,

tan30° = `"AB"/"BC"`

⇒ `(1)/sqrt(3) = (10)/x`
⇒ x = `10sqrt(3)"cm"`.

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Trigonometric Equation Problem and Solution

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Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 9.1

If 2 sin x° − 1 = 0 and x° is an acute angle; find:

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

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

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

Find the length of EC.

Find the value of 'y' if `sqrt(3)` = 1.723.
Given your answer correct to 2 decimal places.

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.

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

Evaluate the following: sin(35° + θ) - cos(55° - θ) - tan(42° + θ) + cot(48° - θ)

If A, B and C are interior angles of ΔABC, prove that sin`(("A" + "B")/2) = cos "C"/(2)`