  PRE-ALGEBRA
ALGEBRA 1
GEOMETRY
ALGEBRA 2
TRIGONOMETRY
PRE-CALCULUS
CALCULUS    Pre-Calculus, 9th edition PAGE: 491 SET: Exercises PROBLEM: 7
Please look in your text book for this problem Statement The trigonometric equation is in the interval . .

From Pythagorean theorem,

The square of the hypotenuse is equal to sum the squares of the other two sides.  .

Where lies in first quadrant.

In first quadrant, the six trigonometric functions are positive. .

(a)

Find .

Use Double-angle formula: . Substitute and .  .

(b)

Find .

Use Double-angle formula: . Substitute and .  .

(c)

Find .

Use Half-angle formula: . Substitute . Where lies in first quadrant, since lies in first quadrant. .

(d)

Find .

Use Half-angle formula: . Substitute . Where lies in first quadrant, since lies in first quadrant. .

(a) .

(b) .

(c) .

(d) . TESTIMONIALS
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