Evaluate the following: sec 34 ° cosec 56 °

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 | 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°)`

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

Solve the following equation for A, if 2 sin A = 1

Solve for x : 3 tan² (2x - 20°) = 1

Find the length of AD. Given: ∠ABC = 60°, ∠DBC = 45° and BC = 24 cm.

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

Evaluate the following: cosec 54° - sec 36°

Evaluate the following: cos39° cos48° cos60° cosec42° cosec51°

Evaluate the following: `(2sin25° sin35° sec55° sec65°)/(5tan 29° tan45° tan61°) + (3cos20° cos50° cot70° cot40°)/(5tan20° tan50° sin70° sin40°)`

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