INTERMEDIATE MATHEMATICS PROBLEMS WITH SOLUTIONS

Solutions for some problems Inter Mathematics first year 1A Trigonometric Ratios upto Transformations.

The solutions are very simple to understand.

You should study the lesson Trigonometric Ratios upto Transformations very well.

Textbook exercise solutions links are also given.

You can also see

Inter Maths 1A textbook solutions

Inter Maths 1B textbook solutions

Inter Maths IIA textbook solutions

Inter Maths IIB textbook solutions

CA foundation maths solutions 

Trigonometric Ratios up to Transformations

Exercise 6(a)

Exercise 6(b)

Exercise 6(c)

Exercise 6(d)

Exercise 6(e)

Exercise 6(f)

Inter Maths Trigonometry solutions

Nios Solutions for Maths Senior secondary

Model papers for maths class 10 and Inter

Trigonometric Ratios upto Transformations

Questions and answers

1. Convert the following into simplest form.

Problem

Find the period of cos (3x + 5) + 7.

Very short answer questions

Problem

If A, B, C, D are angles of a cyclic quadrilateral then prove that cos A + cos B + cos C + cos D = 0.

Problem

Prove that tan 70° – tan 20° = 2 tan 50°.

Problem

What is the value of tan 20° + tan 40° + √3 tan 20° tan 40°?

Problem

Show that cos 42° + xos 78° + cos 162° = 0.

Problem

Simplify sin 1140°.cos 390° – cos 780°.sin 750°.

Problem

Prove that (1/sin 10°) – (√3/cos 10°) = 4.

Problem

Find the value of sin 34° + cos 64° – cos 4°.

Problem

Prove that 4(cos 66° + sin 84°) = √3 + √15.

Problem

Find the period of f(x) = tan 5x.

Problem

Find the period of f(x) = |sin x|.

Problem

Find a sin function whose period is 2/3.

Problem

Find a cosine function whose period is 7.

Problem

Find the minimum and maximum values of f(x) = 3 cos x + 4 sin x.

Problem

Find the range of 13 cos x + 3√3 sin x – 4.

M

Note : Observe the solutions of trigonometric ratios upto transformations and try them in your own methods.

Some more solutions

Problem

You can also see the solutions for junior inter maths 1A for examination purpose

1. Mathematical induction

2. Functions

3. Matrices

4. Addition of vectors

5. Product of vectors

6. Trigonometric ratios upto transformations 2

7. Trigonometric equations solutions

8. Inverse trigonometric functions

9. Hyperbolic functions

10. Properties of triangles

Maths real numbers solutions class 10