Evaluate the following: sin 62 ° cos 28 ° - Mathematics

Evaluate the following: `(sin62°)/(cos28°)`

Sum

`(sin62°)/(cos28°)`

= `(sin(90° - 28°))/(cos28°)`

= `(cos28°)/(cos28°)`
= 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 1.1

Solve the following equation for A, if sin 3 A = `sqrt3 /2`

If 2 cos 2A = `sqrt3` and A is acute,
find:
(i) A
(ii) sin 3A
(iii) sin² (75° - A) + cos² (45° +A)

If 4 cos² x = 3 and x is an acute angle;
find the value of :
(i) x
(ii) cos² x + cot² x
(iii) cos 3x (iv) sin 2x

Calculate the value of A, if cos 3A. (2 sin 2A - 1) = 0

Solve for x : sin² x + sin² 30° = 1

If sin α + cosβ = 1 and α= 90°, find the value of 'β'.

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

cos² (30° + θ) + sin² (45° - θ)

If A, B and C are interior angles of ΔABC, prove that sin`(("A" + "B")/2) = cos "C"/(2)`

Prove the following: tanθ tan(90° - θ) = cotθ cot(90° - θ)

Prove the following: `(tan(90° - θ)cotθ)/("cosec"^2 θ)` = cos²θ