Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx +...
please answer 1,2 and 3! 1. 2. 3. Verify that the equation is an identity. (Hint: sin 2x = sin (x + x)) sin 2x = 2 sin x cOS X Substitute 2x = x + x and apply the sine of a sum identity. sin 2x = sin (x + x) (Do not simplify.) Use the given information to find (a) sin (s +t), (b) tan (s+t), and (c) the quadrant of s + t. 3 12 and sint=...
This Question: 5 pts Write the equation of a sine function that has the following characteristics. 1 Amplitude: 8 Period: 9 Phase shift: 8 Type the appropriate values to complete the sine function. y=sin(x- (Use integers or fractions for any numbers in the expression. Simplify your answers.) Use fundamental identities and/or the complementary angle theorem to find the exact value of the expression. Do not use a calculator sin 12° tan 12° cos 12° sin 12° tan 12° cos 12°...
Find sin 0. 12 tan 0 = -, cos e>0 sin = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
verify the following trigonometric identities. cos y 1-sın y 5, sec y + tany= cos x-sin x -cosx 1-tanx sinx cosx-l 7. sin20+cos 2 θ+ cot 2a 1+tan 2 θ 8.
sin cos tan csc sec cot ??? the six A point on the terminal side of an angle o in standard position is (-15, 20). Find the exact value of each trigonometric functions of e. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. sin = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is not defined. Select the...
Find the exact value of each of the following under the given conditions below. tan a= - <a<rcos p= ,0<B</ (a) sin(a+b) (b) cos (a + b) () sin (a - b) (d) tan (a - b) (a) sin (a + b) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. (b) cos (a + B)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)...
Find the exact value of each of the following under the given conditions below. 3x sin a= 3 50 2 <«< -*; tan B = - 13. 3 <B<x (a) sin(a+B) (b) cos (a + b) (c) sin(a-B) (d) tan (a - B) (a) sin(a+B)= 1 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (b) cos (a + b) = (Simplify your answer, including any radicals. Use integers or fractions for any...
Use identities to find the exact value of each of the four remaining trigonometric functions of the acute angle 0. sin = cos - 2V10 tan 0-0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression) csc 0-0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression) sec 0-0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression) coto-1...
This Question: 5 pts 9 of 20 (12 complete) Use identities to find values of the sine and cosine functions for the angle measure. 0, given that cos20 = 656 and o®<o<90° sino = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize all denominators.) cos8= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize all denominators.) This Question: 5 pts 10 of 20...
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]