*Note: Trigonometrical Ratios of complementary angles:*

*For *

*(i) (ii) *

*(iii) (iv) *

*(v) (vi) *

Evaluate:

Question 1:

Answer:

Question 2:

Answer:

Question 3:

Answer:

Question 4:

Answer:

Question 5:

Answer:

Question 6:

Answer:

Question 7:

Answer:

Question 8:

Answer:

Question 9:

Answer:

Question 10:

Answer:

Question 11:

Answer:

= =

Question 12: ** [2006]**

Answer:

= =

Question 13:

Answer:

Question 14:

Answer:

= =

Question 15:

Answer:

=

=

Question 16: ** [2012]**

Answer:

=

=

Question 17:

Answer:

=

=

Question 18: **[2013]**

Answer:

Question 19: ** [2007]**

Answer:

Question 20:

Answer:

Question 21:

Answer:

Question 22:

Answer:

=

=

Question 23:

Answer:

=

=

Question 24:

Answer:

=

=

Question 25: ** [2004]**

Answer:

Question 26: Show that:

Answer:

. Hence proved.

Question 27: Show that:

Answer:

Hence proved.

Question 28: Show that:

Answer:

. Hence proved.

Question 29: Express in terms of angles between and :

Answer:

Question 30: Express in terms of angles between and :

Answer:

Question 31: Express in terms of angles between and :

Answer:

Question 32:

Answer:

LHS

= RHS. Hence proved.

Question 33:

Answer:

LHS =

=

RHS. Hence proved.

Question 34: For , show that:

Answer:

LHS RHS. Hence proved.

Question 35: For , show that:

Answer:

LHS RHS. Hence proved.

Question 36: In is the right angles at B. Find the value of:

Answer:

Question 37: Find if:

Answer:

Question 38: Find if:

Answer:

Question 39: Find if:

Answer:

Question 40: Find the value of if:

Answer:

Therefore

Question 41: Find the value of if:

Answer:

Question 42: Find the value of if:

Answer:

Question 43: Find if:

Answer:

Question 44: Find the value of where :

Answer:

Question 45: Find the value of where :

Answer:

Question 46: Prove that:

Answer:

LHS

RHS. Hence proved.

Question 47: Prove that:

Answer:

LHS

RHS. Hence proved.

Question 48: Evaluate: ** [2010]**

Answer:

Question 49: Without u\sing trigonometric tables, evaluate

** [2014]**

Answer: