Question

Cos^2 20+sin 20 cos 70+ tan34/cot56

Answer 1

Answer:

Step-by-step explanation:

cos²20⁰ + sin 20⁰ × cos 70⁰ + tan 34⁰ ÷ cot 56⁰

=cos² 20⁰ + sin 20 × cos ( 90⁰ - 20⁰ ) + tan 34⁰ × tan 56⁰

=cos²20⁰ + sin20⁰ × sin20⁰ + tan34⁰ × tan56⁰

=cos²20⁰ + sin²20⁰ + tan34⁰ × tan 56⁰

{cos²a + sin²a = 1 }

=1 + tan34⁰ × tan ( 90⁰- 34⁰)

=1 + tan 34⁰ × cot 34⁰

=1 + tan 34⁰ × 1/ tan34⁰

=1+1

=2//