Find the value 'x', if:

Sum

In right ΔPQS,

sin30° = `"PQ"/"PS"`

⇒ `(1)/(2) = x/(100)`
⇒ x = 50m.

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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 9.5

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

Find the magnitude of angle A, if 2 cos² A - 3 cos A + 1 = 0

Solve for 'θ': `sec(θ/2 + 10°) = (2)/sqrt(3)`

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

cos 3θ

In the given figure, PQ = 6 cm, RQ = x cm and RP = 10 cm, find
a. cosθ
b. sin²θ- cos²θ
c. Use tanθ to find the value of RQ

Find the length of EC.

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

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: `(5sec68°)/("cosec"22°) + (3sin52° sec38°)/(cot51° cot39°)`

Prove the following: `(tan(90° - θ)cotθ)/("cosec"^2 θ)` = cos²θ