if cos(alpha+beta)=0 then sin(alpha-beta) can be written as
Answers
Answer:
1. Read the passage given below and answer the questions/complete the sentences that follow: (8 marks)
Sniffer dog Tucker uses his nose to help researchers find out why a killer whale population off the northwest coast of the United States is on tKe decline. He searches for whale faeces floating on the surface of the water, which are then collected for examination. He is one of the elite team of detection dogs used by scientists studying a number of species including right whales and killer whales.
Conservation canines are fast becoming indispensable tools for biologists according to Aimee Hurt, associate director and co-founder of Working Dogs for Conservation, based in Three Forks, Montana.
Over the last few years, though, so many new conservation dog projects have sprung up that Hurt can no longer keep track of them all. Her organization’s dogs and their handlers are fully booked to assist field researchers into 2012.
“Dogs have such a phenomenal sense of smell”, explained Sam Wasser, director of the Center for Conservation biology at the University of Washington in Seattle. He has worked with scat-detection dogs since 199(g). Scientists have been using Conservation Canines in their research since 199(g). These dogs have enabled them to non-invasively access vast amount of genetic and physiological information which is used to tackle conservation problems around the world. Such information has proved vital for determining the causes and consequences of human disturbances on wildlife as well as the actions needed to mitigate such impacts.
The ideal detection dog is extremely energetic with an excessive play drive. These dogs will happily work all • day long, motivated by the expectation of a ball game as a reward for sample detection. The obsessive, high energy personalities of detection dogs also make them difficult to maintain as pets. As a result, they frequently find themselves abandoned to animal shelters, facing euthanasia. The programme rescues these dogs and offers them a satisfying career in conservation research.
Answer following:
(a) According to the text there are a few________ detection dogs like Tucker.
(b) Tucker sniffs for whale________
(c) The dogs are special because they assist in research without ________
(d) The ideal detection dog ________
(e) The dogs expect________ as a reward of their hard work.
(f) ________of these dogs make it difficult to keep them as pets.
(g) These dogs find career in ________
(h) The word ‘euthanasia’ means ________
Answer:
cos2beta
Step-by-step explanation:
given that
cos(alpha + beta)=0
or, cos(alpha+ beta)= cos 90°
or, (alpha+beta)= 90°
or, alpha = 90°- beta -----------------------------(1)
according to the question,
sin(alpha-beta)
= sin(90°- beta-beta). {putting the value of
alpha from the eqn (1)}
=sin (90°-2beta).
=cos2beta. {sin (90°-beta)=cosbeta}
(Answer)