Questions of trigonometry

As we completed our trigonometry formulas ,value,ratios,and value.so it's time to check your knowledge

Make sure once you start the the don't dare to quit it and also to check the formulas or table there is no time limit for that because it is starting of test series 
And make sure don't cheat yourself !!!!!

Source of questions:- from various books
Publisher :- Defence of India 

So let's begin with all your Josh !!!!

1. If cos x + cos y =0= sin x + sin y ,then what is the value of (cos2x + cos2y)?

a. -2sin (x+y).                  b.  -2cos(x+y)
c. 2 sin( x+y).                  d. 2cos(x+y)

2.If A=2sin²x-cos2x,then

a.-1≤A≤3.        b.≤A≤2
c.-2≤A≤4.        d. None of these

3. The greatest value of ( sin⁴x+ cos⁴x) is

a.1/2        b.1        c.2         d.3

4. The value of (4cos³15°–3cos15°) is

a. 1.     b.-1.        c.1/√2.      d.0

5. If tanA+ tanB+ tanC= tanA tanB tanc, then A+B+C is equal to

a.π.    b.2π.     c.π\2.    d.none

6. The value of (tan 75°-cot75°)is

a.2√3.        b.2+√3.     c.2-√3.     d.none of these

7. The value of (sin 12° sin 48° sin 45°) is

a.1/2.     b.1/4.     c.1/6       d.1/8

8. If sin x + cosec x= 5/2 and x is acute ,then x is equal to :

a. π/6.     b.π/4.     c.π/3.      d.π

9.The value of sin105°sin75° is

a.√5+1/4.        b.√5-1/4.    c.√3+2/4.   d.2-√3/4

10. If cos x 1/2 , then the value of cos3x is

a.-1    b/8.      c.3/4.       d.7/8

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