Evaluate the following: cos 34 ° cos 35 ° sin 57 ° sin 56 ° - Mathematics

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

Sum

`(cos34° cos35°)/(sin57° sin56°)`

= `(cos(90° - 56°) cos(90° - 57°))/(sin57° sin56°)`

= `(sin56° sin57°)/(sin57° sin56°)`
= 1.

shaalaa.com

Trigonometric Equation Problem and Solution

Is there an error in this question or solution?

Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.3

Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 1.6

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°)`

Solve the following equation for A, if sec 2A = 2

Solve the following equation for A, if 2 sin 3 A = 1

Solve for x : cos (2x - 30°) = 0

Find the value of 'A', if 2 sin 2A = 1

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

cos² (30° + θ) + sin² (45° - θ)

In a trapezium ABCD, as shown, AB ‖ DC, AD = DC = BC = 24 cm and ∠A = 30°. Find: length of AB

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

Evaluate the following: `(tan12°)/(cot78°)`

Evaluate the following: sin22° cos44° - sin46° cos68°