Evaluate the following: sec 34 ° cosec 56 ° - Mathematics

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

Sum

`(sec34°)/("cosec"56°)`

= `(sec(90° - 56°))/("cosec"56°)`

= `("cosec"56°)/("cosec"56°)`
= 1.

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Trigonometric Equation Problem and Solution

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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.3

Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 1.2

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°)`

State for any acute angle θ whether cos θ increases or decreases as θ increases.

Solve for x : 3 tan² (2x - 20°) = 1

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

Solve for 'θ': `sin θ/(3)` = 1

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

In the given figure, ∠B = 60°, ∠C = 30°, AB = 8 cm and BC = 24 cm. Find:
a. BE
b. AC

Find x and y, in each of the following figure:

If sec2θ = cosec3θ, find the value of θ if it is known that both 2θ and 3θ are acute angles.