Evaluate the following: sin 25 ° cos 43 ° sin 47 ° cos 65 °

Evaluate the following: `(sin25° cos43°)/(sin47° cos 65°)`

Sum

`(sin25° cos43°)/(sin47° cos 65°)`

= `(sin(90° - 65°) cos(90° - 47°))/(sin47° cos65°)`

= `(cos65° sin 47°)/(sin47° cos65°)`
= 1.

shaalaa.com

Trigonometric Equation Problem and Solution

Is there an error in this question or solution?

Chapter 22: Trigonometrical Ratios of Standard Angles - Exercise 27.3

Chapter 22 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 1.4

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

Solve the following equations for A, if `sqrt3` tan A = 1

Solve for x : cos (2x - 30°) = 0

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

cos² (30° + θ) + sin² (45° - θ)

Find lengths of diagonals AC and BD. Given AB = 24 cm and ∠BAD = 60°.

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

Evaluate the following: cot27° - tan63°

Evaluate the following: sec16° tan28° - cot62° cosec74°

Evaluate the following: `(tan42°)/(cot48°) + (cos33°)/(sin57°)`

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