Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°

Sum

sin53° + sec66° - sin50°
= sin(90° - 37°) + sec(90° - 24°) - sin(90° - 40°)
= cos37° + cosec24° - cos40°.

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 4.5

If θ = 30°, verify that: sin2θ = `(2tanθ)/(1 ++ tan^2θ)`

Evaluate the following: `((sin3θ - 2sin4θ))/((cos3θ - 2cos4θ))` when 2θ = 30°

Evaluate the following: `((1 - cosθ)(1 + cosθ))/((1 - sinθ)(1 + sinθ)` if θ = 30°

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

The perimeter of a rhombus is 100 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.

In the given figure; ∠B = 90°, ∠ADB = 30°, ∠ACB = 45° and AB = 24 m. Find the length of CD.

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

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

Evaluate the following: sin(35° + θ) - cos(55° - θ) - tan(42° + θ) + cot(48° - θ)

If secθ= cosec30° and θ is an acute angle, find the value of 4 sin²θ - 2 cos²θ.