3л If cos x = - , and < x < , what is sin(x + )? Enter your answer as a fraction in simplest form, like this: 3/14
Given that sin x = 3/4, use a Pythagorean identity to find cos x in simplest radical form.
3. Given: A and B are positive acute angles, where sin A = { and cos B = 3 Find the exact value of sin(A+B). 4. Given: angles A and B are in Quadrant I, where 5 tan 4= - and sin B=- V74 Find the exact value of tan(A+B). 5. Given: A lies in Quadrant III and B lies in Quadrant II, sin A=-.- and cos B= Find the exact value of cos(A-B). 17
Establish the identity. 1 - sin 0 cos e + COS 0 1 - sin e = 2 sec Write the left side of the expression with a common denominator. Do not expand the numerator. cos (1 - sin o) Expand and simplify the numerator by rewriting without any parentheses. + cos20 cos (1 - sin o) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos (1 - sin o) (Do not...
V2 Find the exact value of cos (a - b) if sin a = 2 and cos p= - 3 with a in quadrant l and in quadrant II. cos (a - b) = 1 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the exact value of the expressions cos(a + b), sin(a + b) and tan(a+) under the following conditions: sin(a)= a lies in quadrant I, and sin(B) = - Blies in quadrant II. a. cos(a +B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in
is shown cos 7x- cos 9x The graph with the equation y sin 7x + sin 9x in a [0,2xx] by [-2.2.1) viewing rectangle a. Describe the graph using another equation b. Verify that the two equations are equivalent D a. Write another equation of the given graph (Type an equation using x as the variable) b. To verify that the two equations are equal, start with the numerator of the right side and apply the appropriate sum-to product formula...
5. (12pts) Find the exact value of the given expression in radians. a. sin-(sin b. cos-(cos
Ein the identity. sin(a+B) = tan a cot +1 cos a sin B Choose the sequence of steps below that verifies the identity. O A. sin (a +B) cos a sin cos acos B+ sin a sin cos a sin B cos acos B cos a sin B + sin a sin cos a sin = tan a cot B+1 sin a cos B+ cos a sin B cos a sin sin a cos p cos a sin + cos...
The only ideas that can be used include: area ABCI-RA2(A+B+C-lpi), the Pythagorean theorem: Cos c cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; cos A-cos a sin b/sin c; spherical law of sines, spherical law of cosines for sides and spherical law of cosines for angles Let r be the radius of the incircle of triangle ABC on the unit sphere S. If all the angles in triangle ABC are right angles, what is the exact...