Question

if

y=
tant 42 )
+ tan ( 2 + 32 )
that, dy .
then prove
da
1+25x²​

Answer 1

Answer:

1Find these angles in degrees: (a) π/6; (b) 2π; (c) 1 (that’s right, radian angles aren’t necessarily fractions or multiples of π).

Solutions:

(a) (π/6) × (180°/π) = 30°

(b) 2π × (180°/π) = 360°

(c) 1 × (180°/π) = (180/π)° ≈ 57.3°

2Which is the correct definition of an acute angle, in interval notation?

(a) (0°, 90°) (b) [0°, 90°]

Answer: (0°, 90°) is 0 to 90 degrees excluding 0° and 90°; [0°, 90°] is 0 to 90 degrees including 0° and 90°. Acute angles are between 0° and 90° exclusive, so the answer is (a) (0°, 90°).

3Two angles of a triangle are 80° and 40°. Fine the third angle.

Solution: The inside angles of a triangle must always add to 180°. 80° + 40° = 120°, so to make the full 180° the third angle must be 60°.

4A triangle has an angle of 90